87728970 has 64 divisors (see below), whose sum is σ = 241678080. Its totient is φ = 19964928.

The previous prime is 87728899. The next prime is 87728981. The reversal of 87728970 is 7982778.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 55714 + ... + 57266.

It is an arithmetic number, because the mean of its divisors is an integer number (3776220).

Almost surely, 2^87728970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87728970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

87728970 is an abundant number, since it is smaller than the sum of its proper divisors (153949110).

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

87728970 is a wasteful number, since it uses less digits than its factorization.

87728970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839.

The product of its (nonzero) digits is 395136, while the sum is 48.

The square root of 87728970 is about 9366.3744319774. The cubic root of 87728970 is about 444.3389081130.

The spelling of 87728970 in words is "eighty-seven million, seven hundred twenty-eight thousand, nine hundred seventy".