87728736 has 96 divisors (see below), whose sum is σ = 238484736. Its totient is φ = 28224000.

The previous prime is 87728731. The next prime is 87728737. The reversal of 87728736 is 63782778.

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

It is a super-2 number, since 2×87728736² = 15392662240315392, which contains 22 as substring.

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 (87728731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415671 + ... + 415881.

It is an arithmetic number, because the mean of its divisors is an integer number (2484216).

Almost surely, 2^87728736 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 87728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119242368).

87728736 is an abundant number, since it is smaller than the sum of its proper divisors (150756000).

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

87728736 is a wasteful number, since it uses less digits than its factorization.

87728736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

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

The square root of 87728736 is about 9366.3619404761. The cubic root of 87728736 is about 444.3385130500.

The spelling of 87728736 in words is "eighty-seven million, seven hundred twenty-eight thousand, seven hundred thirty-six".