87792288 has 48 divisors (see below), whose sum is σ = 240480576. Its totient is φ = 27991040.

The previous prime is 87792269. The next prime is 87792343. The reversal of 87792288 is 88229778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87792288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17673 + ... + 22088.

It is an arithmetic number, because the mean of its divisors is an integer number (5010012).

Almost surely, 2^87792288 is an apocalyptic number.

It is an amenable number.

87792288 is an abundant number, since it is smaller than the sum of its proper divisors (152688288).

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

87792288 is a wasteful number, since it uses less digits than its factorization.

87792288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39797 (or 39789 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 87792288 is about 9369.7538921788. The cubic root of 87792288 is about 444.4457822923.

The spelling of 87792288 in words is "eighty-seven million, seven hundred ninety-two thousand, two hundred eighty-eight".