87633288 has 48 divisors (see below), whose sum is σ = 240605820. Its totient is φ = 28809216.

The previous prime is 87633251. The next prime is 87633313. The reversal of 87633288 is 88233678.

87633288 is a `hidden beast` number, since 8 + 7 + 633 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80245764 + 7387524 = 8958^2 + 2718^2 .

It is a super-4 number, since 4×87633288⁴ (a number of 33 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3081 + ... + 13592.

Almost surely, 2^87633288 is an apocalyptic number.

It is an amenable number.

87633288 is an abundant number, since it is smaller than the sum of its proper divisors (152972532).

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

87633288 is a wasteful number, since it uses less digits than its factorization.

87633288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16758 (or 16751 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 87633288 is about 9361.2652990929. The cubic root of 87633288 is about 444.1773092658.

It can be divided in two parts, 87 and 633288, that added together give a triangular number (633375 = T₁₁₂₅).

The spelling of 87633288 in words is "eighty-seven million, six hundred thirty-three thousand, two hundred eighty-eight".