87509628 has 36 divisors (see below), whose sum is σ = 222499368. Its totient is φ = 28999200.

The previous prime is 87509627. The next prime is 87509657. The reversal of 87509628 is 82690578.

87509628 is a `hidden beast` number, since 87 + 509 + 62 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87509623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (6180538).

Almost surely, 2^87509628 is an apocalyptic number.

It is an amenable number.

87509628 is an abundant number, since it is smaller than the sum of its proper divisors (134989740).

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

87509628 is a wasteful number, since it uses less digits than its factorization.

87509628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14234 (or 14229 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 87509628 is about 9354.6580910261. The cubic root of 87509628 is about 443.9682835879.

The spelling of 87509628 in words is "eighty-seven million, five hundred nine thousand, six hundred twenty-eight".