57736848 has 80 divisors (see below), whose sum is σ = 163142336. Its totient is φ = 17487360.

The previous prime is 57736843. The next prime is 57736853. The reversal of 57736848 is 84863775.

It is an interprime number because it is at equal distance from previous prime (57736843) and next prime (57736853).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 57736797 and 57736806.

It is not an unprimeable number, because it can be changed into a prime (57736843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41118 + ... + 42498.

Almost surely, 2^57736848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57736848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81571168).

57736848 is an abundant number, since it is smaller than the sum of its proper divisors (105405488).

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

57736848 is a wasteful number, since it uses less digits than its factorization.

57736848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1466 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 57736848 is about 7598.4766894424. The cubic root of 57736848 is about 386.5013575305.

It can be divided in two parts, 5773 and 6848, that added together give a palindrome (12621).

The spelling of 57736848 in words is "fifty-seven million, seven hundred thirty-six thousand, eight hundred forty-eight".