87637728 has 96 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 26459136.

The previous prime is 87637727. The next prime is 87637789. The reversal of 87637728 is 82773678.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87637721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40908 + ... + 42996.

It is an arithmetic number, because the mean of its divisors is an integer number (2633400).

Almost surely, 2^87637728 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 87637728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

87637728 is an abundant number, since it is smaller than the sum of its proper divisors (165168672).

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

87637728 is a wasteful number, since it uses less digits than its factorization.

87637728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2136 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 87637728 is about 9361.5024435183. The cubic root of 87637728 is about 444.1848106540.

It can be divided in two parts, 87637 and 728, that multiplied together give a palindrome (63799736).

The spelling of 87637728 in words is "eighty-seven million, six hundred thirty-seven thousand, seven hundred twenty-eight".