762083028 has 72 divisors (see below), whose sum is σ = 2215199168. Its totient is φ = 216390528.

The previous prime is 762083017. The next prime is 762083033. The reversal of 762083028 is 820380267.

It is a happy number.

762083028 is a `hidden beast` number, since 7 + 620 + 8 + 3 + 0 + 28 = 666.

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 = 762082983 and 762083001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31800 + ... + 50352.

Almost surely, 2^762083028 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 762083028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107599584).

762083028 is an abundant number, since it is smaller than the sum of its proper divisors (1453116140).

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

762083028 is a wasteful number, since it uses less digits than its factorization.

762083028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18733 (or 18728 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 762083028 is about 27605.8513362657. The cubic root of 762083028 is about 913.4135080961.

The spelling of 762083028 in words is "seven hundred sixty-two million, eighty-three thousand, twenty-eight".