87176628 has 144 divisors (see below), whose sum is σ = 284215680. Its totient is φ = 22619520.

The previous prime is 87176623. The next prime is 87176633. The reversal of 87176628 is 82667178.

87176628 is a `hidden beast` number, since 8 + 7 + 17 + 6 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (87176623) and next prime (87176633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87176623) 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 47 ways as a sum of consecutive naturals, for example, 91000 + ... + 91952.

It is an arithmetic number, because the mean of its divisors is an integer number (1973720).

Almost surely, 2^87176628 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 87176628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107840).

87176628 is an abundant number, since it is smaller than the sum of its proper divisors (197039052).

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

87176628 is a wasteful number, since it uses less digits than its factorization.

87176628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 976 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 87176628 is about 9336.8425069720. The cubic root of 87176628 is about 443.4044242501.

It can be divided in two parts, 87 and 176628, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 87176628 in words is "eighty-seven million, one hundred seventy-six thousand, six hundred twenty-eight".