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628060992 = 26313318117
BaseRepresentation
bin100101011011110…
…111001101000000
31121202210210201020
4211123313031000
52241240422432
6142153305440
721364300416
oct4533671500
91552723636
10628060992
112a2584579
12156405280
13a0172130
145d5ad2b6
153a21222c
hex256f7340

628060992 has 112 divisors (see below), whose sum is σ = 1847526912. Its totient is φ = 186992640.

The previous prime is 628060957. The next prime is 628061009. The reversal of 628060992 is 299060826.

628060992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73318 + ... + 81434.

It is an arithmetic number, because the mean of its divisors is an integer number (16495776).

Almost surely, 2628060992 is an apocalyptic number.

628060992 is a gapful number since it is divisible by the number (62) 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 628060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923763456).

628060992 is an abundant number, since it is smaller than the sum of its proper divisors (1219465920).

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

628060992 is a wasteful number, since it uses less digits than its factorization.

628060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 628060992 is about 25061.1450656190. The cubic root of 628060992 is about 856.3814935641.

The spelling of 628060992 in words is "six hundred twenty-eight million, sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 8117 9672 12896 16234 19344 24351 25792 32468 38688 48702 64936 77376 97404 105521 129872 194808 211042 251627 259744 316563 389616 422084 503254 519488 633126 754881 779232 844168 1006508 1266252 1509762 1558464 1688336 2013016 2532504 3019524 3271151 3376672 4026032 5065008 6039048 6542302 6753344 8052064 9813453 10130016 12078096 13084604 16104128 19626906 20260032 24156192 26169208 39253812 48312384 52338416 78507624 104676832 157015248 209353664 314030496 628060992