56735448 has 96 divisors (see below), whose sum is σ = 178241280. Its totient is φ = 14731200.

The previous prime is 56735407. The next prime is 56735449. The reversal of 56735448 is 84453765.

It is a super-2 number, since 2×56735448² = 6437822119521408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56735449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18933 + ... + 21723.

It is an arithmetic number, because the mean of its divisors is an integer number (1856680).

Almost surely, 2^56735448 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 56735448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89120640).

56735448 is an abundant number, since it is smaller than the sum of its proper divisors (121505832).

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

56735448 is a wasteful number, since it uses less digits than its factorization.

56735448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2814 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 56735448 is about 7532.2936745722. The cubic root of 56735448 is about 384.2537927302.

The spelling of 56735448 in words is "fifty-six million, seven hundred thirty-five thousand, four hundred forty-eight".