57824028 has 72 divisors (see below), whose sum is σ = 153032880. Its totient is φ = 18385920.

The previous prime is 57824009. The next prime is 57824051. The reversal of 57824028 is 82042875.

It is a happy number.

57824028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 57823983 and 57824001.

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 23 ways as a sum of consecutive naturals, for example, 100983 + ... + 101553.

Almost surely, 2^57824028 is an apocalyptic number.

57824028 is a gapful number since it is divisible by the number (58) 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 57824028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76516440).

57824028 is an abundant number, since it is smaller than the sum of its proper divisors (95208852).

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

57824028 is a wasteful number, since it uses less digits than its factorization.

57824028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 57824028 is about 7604.2112016961. The cubic root of 57824028 is about 386.6957928251.

The spelling of 57824028 in words is "fifty-seven million, eight hundred twenty-four thousand, twenty-eight".