87028320 has 96 divisors (see below), whose sum is σ = 286094592. Its totient is φ = 22195712.

The previous prime is 87028313. The next prime is 87028327. The reversal of 87028320 is 2382078.

It is an interprime number because it is at equal distance from previous prime (87028313) and next prime (87028327).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87028327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7099 + ... + 14981.

It is an arithmetic number, because the mean of its divisors is an integer number (2980152).

Almost surely, 2^87028320 is an apocalyptic number.

87028320 is a gapful number since it is divisible by the number (80) 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 87028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143047296).

87028320 is an abundant number, since it is smaller than the sum of its proper divisors (199066272).

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

87028320 is a wasteful number, since it uses less digits than its factorization.

87028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 87028320 is about 9328.8970409154. The cubic root of 87028320 is about 443.1528363667.

The spelling of 87028320 in words is "eighty-seven million, twenty-eight thousand, three hundred twenty".