87644928 has 216 divisors, whose sum is σ = 289405872. Its totient is φ = 23396352.

The previous prime is 87644867. The next prime is 87644981. The reversal of 87644928 is 82944678.

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

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 23 ways as a sum of consecutive naturals, for example, 639676 + ... + 639812.

It is an arithmetic number, because the mean of its divisors is an integer number (1339842).

Almost surely, 2^87644928 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 87644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144702936).

87644928 is an abundant number, since it is smaller than the sum of its proper divisors (201760944).

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

87644928 is a wasteful number, since it uses less digits than its factorization.

87644928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 87644928 is about 9361.8869892773. The cubic root of 87644928 is about 444.1969745288.

The spelling of 87644928 in words is "eighty-seven million, six hundred forty-four thousand, nine hundred twenty-eight".