5760652128 has 384 divisors, whose sum is σ = 20325924864. Its totient is φ = 1383782400.

The previous prime is 5760652111. The next prime is 5760652169. The reversal of 5760652128 is 8212560675.

It is a super-2 number, since 2×5760652128² = 66370225879661856768, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5760652128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5269950 + ... + 5271042.

It is an arithmetic number, because the mean of its divisors is an integer number (52932096).

Almost surely, 2^5760652128 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 5760652128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162962432).

5760652128 is an abundant number, since it is smaller than the sum of its proper divisors (14565272736).

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

5760652128 is a wasteful number, since it uses less digits than its factorization.

5760652128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5760652128 is about 75898.9599928747. The cubic root of 5760652128 is about 1792.6295453643.

The spelling of 5760652128 in words is "five billion, seven hundred sixty million, six hundred fifty-two thousand, one hundred twenty-eight".