57728828369250 has 96 divisors (see below), whose sum is σ = 156105673841520. Its totient is φ = 15393671596800.

The previous prime is 57728828369249. The next prime is 57728828369291. The reversal of 57728828369250 is 5296382882775.

It is a happy number.

57728828369250 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 8 + 8 + 2 + 8 + 369 + 250 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6185661435801 + 51543166933449 = 2487099^2 + 7179357^2 .

It is a super-2 number, since 2×57728828369250² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51230896 + ... + 52345604.

Almost surely, 2^{57728828369250} is an apocalyptic number.

57728828369250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57728828369250 is an abundant number, since it is smaller than the sum of its proper divisors (98376845472270).

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

57728828369250 is a wasteful number, since it uses less digits than its factorization.

57728828369250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137749 (or 1137736 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 57728828369250 in words is "fifty-seven trillion, seven hundred twenty-eight billion, eight hundred twenty-eight million, three hundred sixty-nine thousand, two hundred fifty".