87742928 has 60 divisors (see below), whose sum is σ = 212994180. Its totient is φ = 34707456.

The previous prime is 87742913. The next prime is 87742943. The reversal of 87742928 is 82924778.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87742913) and next prime (87742943).

It can be written as a sum of positive squares in 2 ways, for example, as 16711744 + 71031184 = 4088^2 + 8428^2 .

It is a congruent number.

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, 5888 + ... + 14496.

It is an arithmetic number, because the mean of its divisors is an integer number (3549903).

Almost surely, 2^87742928 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 87742928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106497090).

87742928 is an abundant number, since it is smaller than the sum of its proper divisors (125251252).

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

87742928 is a wasteful number, since it uses less digits than its factorization.

87742928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 8631 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 87742928 is about 9367.1195145573. The cubic root of 87742928 is about 444.3624721785.

The spelling of 87742928 in words is "eighty-seven million, seven hundred forty-two thousand, nine hundred twenty-eight".