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428989371888 = 243711162771339
BaseRepresentation
bin1100011111000011100…
…00100101010111110000
31112000022000012001020010
412033201300211113300
524012032234400023
6525024111014520
742664520332140
oct6174160452760
91460260161203
10428989371888
11155a2a353590
126b18380a440
13315b851482c
1416a982d4920
15b25b942093
hex63e1c255f0

428989371888 has 160 divisors (see below), whose sum is σ = 1382548654080. Its totient is φ = 111355764480.

The previous prime is 428989371847. The next prime is 428989371893. The reversal of 428989371888 is 888173989824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5977723 + ... + 6049061.

It is an arithmetic number, because the mean of its divisors is an integer number (8640929088).

Almost surely, 2428989371888 is an apocalyptic number.

428989371888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428989371888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691274327040).

428989371888 is an abundant number, since it is smaller than the sum of its proper divisors (953559282192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428989371888 is a wasteful number, since it uses less digits than its factorization.

428989371888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72995 (or 72989 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 75.

The spelling of 428989371888 in words is "four hundred twenty-eight billion, nine hundred eighty-nine million, three hundred seventy-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1627 1848 3254 3696 4881 6508 9762 11389 13016 17897 19524 22778 26032 34167 35794 39048 45556 53691 68334 71339 71588 78096 91112 107382 125279 136668 142678 143176 182224 214017 214764 250558 273336 285356 286352 375837 428034 429528 499373 501116 546672 570712 751674 784729 856068 859056 998746 1002232 1141424 1498119 1503348 1569458 1712136 1997492 2004464 2354187 2996238 3006696 3138916 3424272 3994984 4708374 5493103 5992476 6013392 6277832 7989968 9416748 10986206 11984952 12555664 16479309 18833496 21972412 23969904 32958618 37666992 43944824 65917236 87889648 116068553 131834472 232137106 263668944 348205659 464274212 696411318 812479871 928548424 1276754083 1392822636 1624959742 1857096848 2437439613 2553508166 2785645272 3249919484 3830262249 4874879226 5107016332 5571290544 6499838968 7660524498 8937278581 9749758452 10214032664 12999677936 15321048996 17874557162 19499516904 20428065328 26811835743 30642097992 35749114324 38999033808 53623671486 61284195984 71498228648 107247342972 142996457296 214494685944 428989371888