87628321 has 27 divisors (see below), whose sum is σ = 103483443. Its totient is φ = 74139120.

The previous prime is 87628313. The next prime is 87628337. The reversal of 87628321 is 12382678.

The square root of 87628321 is 9361.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78411025 + 9217296 = 8855^2 + 3036^2 .

It is not a de Polignac number, because 87628321 - 2³ = 87628313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87628621) 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 26 ways as a sum of consecutive naturals, for example, 2368315 + ... + 2368351.

Almost surely, 2^87628321 is an apocalyptic number.

87628321 is the 9361-st square number.

87628321 is the 4681-st centered octagonal number.

It is an amenable number.

87628321 is a deficient number, since it is larger than the sum of its proper divisors (15855122).

87628321 is a wasteful number, since it uses less digits than its factorization.

87628321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The cubic root of 87628321 is about 444.1689172098.

The spelling of 87628321 in words is "eighty-seven million, six hundred twenty-eight thousand, three hundred twenty-one".