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28776768 = 263672237
BaseRepresentation
bin110110111000…
…1100101000000
32000011000022020
41231301211000
524331324033
62504441440
7466412166
oct155614500
960130266
1028776768
1115275459
129779280
135c67297
143b71236
1527d66b3
hex1b71940

28776768 has 56 divisors (see below), whose sum is σ = 77309472. Its totient is φ = 9444864.

The previous prime is 28776757. The next prime is 28776779. The reversal of 28776768 is 86767782.

It is an interprime number because it is at equal distance from previous prime (28776757) and next prime (28776779).

It is a self number, because there is not a number n which added to its sum of digits gives 28776768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11746 + ... + 13982.

Almost surely, 228776768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38654736).

28776768 is an abundant number, since it is smaller than the sum of its proper divisors (48532704).

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

28776768 is a wasteful number, since it uses less digits than its factorization.

28776768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2309 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 51.

The square root of 28776768 is about 5364.3981955108. The cubic root of 28776768 is about 306.4413299487.

The spelling of 28776768 in words is "twenty-eight million, seven hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 2237 3216 4288 4474 6432 6711 8948 12864 13422 17896 26844 35792 53688 71584 107376 143168 149879 214752 299758 429504 449637 599516 899274 1199032 1798548 2398064 3597096 4796128 7194192 9592256 14388384 28776768