57073248 has 120 divisors (see below), whose sum is σ = 170328312. Its totient is φ = 18745344.

The previous prime is 57073243. The next prime is 57073253. The reversal of 57073248 is 84237075.

It is an interprime number because it is at equal distance from previous prime (57073243) and next prime (57073253).

It is a super-3 number, since 3×57073248³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57073243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251311 + ... + 251537.

Almost surely, 2^57073248 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 57073248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85164156).

57073248 is an abundant number, since it is smaller than the sum of its proper divisors (113255064).

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

57073248 is a wasteful number, since it uses less digits than its factorization.

57073248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57073248 is about 7554.6838451387. The cubic root of 57073248 is about 385.0148934476.

The spelling of 57073248 in words is "fifty-seven million, seventy-three thousand, two hundred forty-eight".