5120177328 has 120 divisors (see below), whose sum is σ = 16402370816. Its totient is φ = 1460592000.

The previous prime is 5120177311. The next prime is 5120177369. The reversal of 5120177328 is 8237710215.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5120177292 and 5120177301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692853 + ... + 700203.

Almost surely, 2^5120177328 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 5120177328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201185408).

5120177328 is an abundant number, since it is smaller than the sum of its proper divisors (11282193488).

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

5120177328 is a wasteful number, since it uses less digits than its factorization.

5120177328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8054 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5120177328 is about 71555.4143863342. The cubic root of 5120177328 is about 1723.5676497955.

The spelling of 5120177328 in words is "five billion, one hundred twenty million, one hundred seventy-seven thousand, three hundred twenty-eight".