87626528 has 48 divisors (see below), whose sum is σ = 189949536. Its totient is φ = 39459840.

The previous prime is 87626521. The next prime is 87626531. The reversal of 87626528 is 82562678.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (87626521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38675 + ... + 40877.

It is an arithmetic number, because the mean of its divisors is an integer number (3957282).

Almost surely, 2^87626528 is an apocalyptic number.

87626528 is a gapful number since it is divisible by the number (88) 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 87626528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94974768).

87626528 is an abundant number, since it is smaller than the sum of its proper divisors (102323008).

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

87626528 is a wasteful number, since it uses less digits than its factorization.

87626528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2329 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 87626528 is about 9360.9042298274. The cubic root of 87626528 is about 444.1658877466.

The spelling of 87626528 in words is "eighty-seven million, six hundred twenty-six thousand, five hundred twenty-eight".