87244128 has 120 divisors (see below), whose sum is σ = 259974792. Its totient is φ = 28698624.

The previous prime is 87244111. The next prime is 87244133. The reversal of 87244128 is 82144278.

It is a super-2 number, since 2×87244128² = 15223075740960768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87244092 and 87244101.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 251251 + ... + 251597.

Almost surely, 2^87244128 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 87244128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129987396).

87244128 is an abundant number, since it is smaller than the sum of its proper divisors (172730664).

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

87244128 is a wasteful number, since it uses less digits than its factorization.

87244128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 87244128 is about 9340.4565198924. The cubic root of 87244128 is about 443.5188359445.

The spelling of 87244128 in words is "eighty-seven million, two hundred forty-four thousand, one hundred twenty-eight".