762072828 has 24 divisors (see below), whose sum is σ = 1939822080. Its totient is φ = 230931120.

The previous prime is 762072827. The next prime is 762072833. The reversal of 762072828 is 828270267.

It is a super-4 number, since 4×762072828⁴ (a number of 37 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 762072828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (762072827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2886508 + ... + 2886771.

It is an arithmetic number, because the mean of its divisors is an integer number (80825920).

Almost surely, 2^762072828 is an apocalyptic number.

It is an amenable number.

762072828 is an abundant number, since it is smaller than the sum of its proper divisors (1177749252).

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

762072828 is a wasteful number, since it uses less digits than its factorization.

762072828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773297 (or 5773295 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 762072828 is about 27605.6665922053. Note that the first 3 decimals coincide. The cubic root of 762072828 is about 913.4094329237.

The spelling of 762072828 in words is "seven hundred sixty-two million, seventy-two thousand, eight hundred twenty-eight".