57029336 has 144 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 20684160.

The previous prime is 57029293. The next prime is 57029359. The reversal of 57029336 is 63392075.

57029336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57029296 and 57029305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1839641 + ... + 1839671.

It is an arithmetic number, because the mean of its divisors is an integer number (1013460).

Almost surely, 2^57029336 is an apocalyptic number.

57029336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57029336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

57029336 is an abundant number, since it is smaller than the sum of its proper divisors (88908904).

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

57029336 is a wasteful number, since it uses less digits than its factorization.

57029336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 57029336 is about 7551.7770094197. Note that the first 3 decimals coincide. The cubic root of 57029336 is about 384.9161249792.

The spelling of 57029336 in words is "fifty-seven million, twenty-nine thousand, three hundred thirty-six".