87250328 has 64 divisors (see below), whose sum is σ = 186624000. Its totient is φ = 37878400.

The previous prime is 87250327. The next prime is 87250333. The reversal of 87250328 is 82305278.

It is a happy number.

It is a super-2 number, since 2×87250328² = 15225239472215168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87250327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 456713 + ... + 456903.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2^87250328 is an apocalyptic number.

87250328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87250328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

87250328 is an abundant number, since it is smaller than the sum of its proper divisors (99373672).

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

87250328 is a wasteful number, since it uses less digits than its factorization.

87250328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 87250328 is about 9340.7884035557. The cubic root of 87250328 is about 443.5293419110.

It can be divided in two parts, 87250 and 328, that added together give a palindrome (87578).

The spelling of 87250328 in words is "eighty-seven million, two hundred fifty thousand, three hundred twenty-eight".