87228928320 has 224 divisors, whose sum is σ = 286949692800. Its totient is φ = 22423855104.

The previous prime is 87228928309. The next prime is 87228928331. The reversal of 87228928320 is 2382982278.

It is an interprime number because it is at equal distance from previous prime (87228928309) and next prime (87228928331).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21072811 + ... + 21076949.

Almost surely, 2^87228928320 is an apocalyptic number.

87228928320 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 87228928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143474846400).

87228928320 is an abundant number, since it is smaller than the sum of its proper divisors (199720764480).

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

87228928320 is a wasteful number, since it uses less digits than its factorization.

87228928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 87228928320 in words is "eighty-seven billion, two hundred twenty-eight million, nine hundred twenty-eight thousand, three hundred twenty".