87728256 has 384 divisors, whose sum is σ = 336061440. Its totient is φ = 21288960.

The previous prime is 87728243. The next prime is 87728281. The reversal of 87728256 is 65282778.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2040171 + ... + 2040213.

It is an arithmetic number, because the mean of its divisors is an integer number (875160).

Almost surely, 2^87728256 is an apocalyptic number.

87728256 is a gapful number since it is divisible by the number (86) 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 87728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

87728256 is an abundant number, since it is smaller than the sum of its proper divisors (248333184).

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

87728256 is a wasteful number, since it uses less digits than its factorization.

87728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 87728256 is about 9366.3363168317. The cubic root of 87728256 is about 444.3377026623.

The spelling of 87728256 in words is "eighty-seven million, seven hundred twenty-eight thousand, two hundred fifty-six".