87946628 has 96 divisors (see below), whose sum is σ = 202653696. Its totient is φ = 32400000.

The previous prime is 87946613. The next prime is 87946637. The reversal of 87946628 is 82664978.

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, 582353 + ... + 582503.

It is an arithmetic number, because the mean of its divisors is an integer number (2110976).

Almost surely, 2^87946628 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 87946628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101326848).

87946628 is an abundant number, since it is smaller than the sum of its proper divisors (114707068).

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

87946628 is a wasteful number, since it uses less digits than its factorization.

87946628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 87946628 is about 9377.9863510244. The cubic root of 87946628 is about 444.7060770000.

The spelling of 87946628 in words is "eighty-seven million, nine hundred forty-six thousand, six hundred twenty-eight".