Search a number
-
+
28355489040 = 2435196918999
BaseRepresentation
bin11010011010000111…
…100110110100010000
32201012010212002102210
4122122013212310100
5431033001122130
621005404312120
72022450452154
oct323207466420
981163762383
1028355489040
1111030a3066a
1255b4242640
13289b7764a8
14152dc89064
15b0e5865b0
hex69a1e6d10

28355489040 has 160 divisors (see below), whose sum is σ = 92672640000. Its totient is φ = 7152330240.

The previous prime is 28355489023. The next prime is 28355489047. The reversal of 28355489040 is 4098455382.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28355489047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3146461 + ... + 3155459.

It is an arithmetic number, because the mean of its divisors is an integer number (579204000).

Almost surely, 228355489040 is an apocalyptic number.

28355489040 is a gapful number since it is divisible by the number (20) 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 28355489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46336320000).

28355489040 is an abundant number, since it is smaller than the sum of its proper divisors (64317150960).

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

28355489040 is a wasteful number, since it uses less digits than its factorization.

28355489040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 28355489040 in words is "twenty-eight billion, three hundred fifty-five million, four hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 691 760 912 1140 1382 1520 2073 2280 2764 3455 4146 4560 5528 6910 8292 8999 10365 11056 13129 13820 16584 17998 20730 26258 26997 27640 33168 35996 39387 41460 44995 52516 53994 55280 65645 71992 78774 82920 89990 105032 107988 131290 134985 143984 157548 165840 170981 179980 196935 210064 215976 262580 269970 315096 341962 359960 393870 431952 512943 525160 539940 630192 683924 719920 787740 854905 1025886 1050320 1079880 1367848 1575480 1709810 2051772 2159760 2564715 2735696 3150960 3419620 4103544 5129430 6218309 6839240 8207088 10258860 12436618 13678480 18654927 20517720 24873236 31091545 37309854 41035440 49746472 62183090 74619708 93274635 99492944 118147871 124366180 149239416 186549270 236295742 248732360 298478832 354443613 373098540 472591484 497464720 590739355 708887226 746197080 945182968 1181478710 1417774452 1492394160 1772218065 1890365936 2362957420 2835548904 3544436130 4725914840 5671097808 7088872260 9451829680 14177744520 28355489040