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28777672 = 23711231137
BaseRepresentation
bin110110111000…
…1110011001000
32000011001112201
41231301303020
524331341142
62504445544
7466414630
oct155616310
960131481
1028777672
1115276100
1297798b4
135c67811
143b716c0
1527d6ab7
hex1b71cc8

28777672 has 96 divisors (see below), whose sum is σ = 70479360. Its totient is φ = 10771200.

The previous prime is 28777667. The next prime is 28777691. The reversal of 28777672 is 27677782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209988 + ... + 210124.

It is an arithmetic number, because the mean of its divisors is an integer number (734160).

Almost surely, 228777672 is an apocalyptic number.

28777672 is a gapful number since it is divisible by the number (22) 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 28777672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35239680).

28777672 is an abundant number, since it is smaller than the sum of its proper divisors (41701688).

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

28777672 is a wasteful number, since it uses less digits than its factorization.

28777672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its digits is 460992, while the sum is 46.

The square root of 28777672 is about 5364.4824540677. The cubic root of 28777672 is about 306.4445387879. Note that the first 3 decimals are identical.

The spelling of 28777672 in words is "twenty-eight million, seven hundred seventy-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 121 124 137 154 217 242 248 274 308 341 434 484 548 616 682 847 868 959 968 1096 1364 1507 1694 1736 1918 2387 2728 3014 3388 3751 3836 4247 4774 6028 6776 7502 7672 8494 9548 10549 12056 15004 16577 16988 19096 21098 26257 29729 30008 33154 33976 42196 46717 52514 59458 66308 84392 93434 105028 116039 118916 132616 186868 210056 232078 237832 327019 373736 464156 513887 654038 928312 1027774 1308076 2055548 2616152 3597209 4111096 7194418 14388836 28777672