8730133944 has 128 divisors (see below), whose sum is σ = 25789747200. Its totient is φ = 2409937920.

The previous prime is 8730133939. The next prime is 8730133961. The reversal of 8730133944 is 4493310378.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8730133896 and 8730133905.

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, 4879002 + ... + 4880790.

It is an arithmetic number, because the mean of its divisors is an integer number (201482400).

Almost surely, 2^8730133944 is an apocalyptic number.

8730133944 is a gapful number since it is divisible by the number (84) 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 8730133944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894873600).

8730133944 is an abundant number, since it is smaller than the sum of its proper divisors (17059613256).

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

8730133944 is a wasteful number, since it uses less digits than its factorization.

8730133944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 8730133944 is about 93435.1857920773. The cubic root of 8730133944 is about 2059.0819694279.

The spelling of 8730133944 in words is "eight billion, seven hundred thirty million, one hundred thirty-three thousand, nine hundred forty-four".