76828128 has 48 divisors (see below), whose sum is σ = 217190736. Its totient is φ = 23639040.

The previous prime is 76828121. The next prime is 76828159. The reversal of 76828128 is 82182867.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×76828128² = 11805122503968768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76828128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76828121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29533 + ... + 32028.

It is an arithmetic number, because the mean of its divisors is an integer number (4524807).

Almost surely, 2^76828128 is an apocalyptic number.

76828128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

76828128 is an abundant number, since it is smaller than the sum of its proper divisors (140362608).

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

76828128 is a wasteful number, since it uses less digits than its factorization.

76828128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61587 (or 61579 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 76828128 is about 8765.1656002611. The cubic root of 76828128 is about 425.1153144992.

The spelling of 76828128 in words is "seventy-six million, eight hundred twenty-eight thousand, one hundred twenty-eight".