57728246400 has 1152 divisors, whose sum is σ = 247366042560. Its totient is φ = 13138329600.

The previous prime is 57728246399. The next prime is 57728246413. The reversal of 57728246400 is 464282775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×57728246400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145411002 + ... + 145411398.

Almost surely, 2^57728246400 is an apocalyptic number.

57728246400 is a gapful number since it is divisible by the number (50) 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 57728246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123683021280).

57728246400 is an abundant number, since it is smaller than the sum of its proper divisors (189637796160).

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

57728246400 is a wasteful number, since it uses less digits than its factorization.

57728246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 57728246400 in words is "fifty-seven billion, seven hundred twenty-eight million, two hundred forty-six thousand, four hundred".