87337728280 has 128 divisors (see below), whose sum is σ = 220636120320. Its totient is φ = 30840122880.

The previous prime is 87337728253. The next prime is 87337728281. The reversal of 87337728280 is 8282773378.

It is a happy number.

It is a super-2 number, since 2×87337728280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87337728281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3259819 + ... + 3286501.

It is an arithmetic number, because the mean of its divisors is an integer number (1723719690).

Almost surely, 2^87337728280 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 87337728280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110318060160).

87337728280 is an abundant number, since it is smaller than the sum of its proper divisors (133298392040).

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

87337728280 is a wasteful number, since it uses less digits than its factorization.

87337728280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26921 (or 26917 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 87337728280 in words is "eighty-seven billion, three hundred thirty-seven million, seven hundred twenty-eight thousand, two hundred eighty".