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28638900500 = 2253731263953
BaseRepresentation
bin11010101011000000…
…101111000100010100
32201220220010212212112
4122223000233010110
5432123024304000
621053451010152
72032461431510
oct325300570424
981826125775
1028638900500
1111166a04911
125673139958
1329153b6892
141559781140
15b293ba235
hex6ab02f114

28638900500 has 96 divisors (see below), whose sum is σ = 73788868608. Its totient is φ = 9502272000.

The previous prime is 28638900473. The next prime is 28638900539. The reversal of 28638900500 is 500983682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23477 + ... + 240476.

It is an arithmetic number, because the mean of its divisors is an integer number (768634048).

Almost surely, 228638900500 is an apocalyptic number.

28638900500 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 28638900500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36894434304).

28638900500 is an abundant number, since it is smaller than the sum of its proper divisors (45149968108).

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

28638900500 is a wasteful number, since it uses less digits than its factorization.

28638900500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264010 (or 263998 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 28638900500 in words is "twenty-eight billion, six hundred thirty-eight million, nine hundred thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 125 140 155 175 217 250 310 350 434 500 620 700 775 868 875 1085 1550 1750 2170 3100 3500 3875 4340 5425 7750 10850 15500 21700 27125 54250 108500 263953 527906 1055812 1319765 1847671 2639530 3695342 5279060 6598825 7390684 8182543 9238355 13197650 16365086 18476710 26395300 32730172 32994125 36953420 40912715 46191775 57277801 65988250 81825430 92383550 114555602 131976500 163650860 184767100 204563575 229111204 230958875 286389005 409127150 461917750 572778010 818254300 923835500 1022817875 1145556020 1431945025 2045635750 2863890050 4091271500 5727780100 7159725125 14319450250 28638900500