10057248 has 72 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 3276672.

The previous prime is 10057231. The next prime is 10057249. The reversal of 10057248 is 84275001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10057248² = 202296474667008, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10057249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13165 + ... + 13907.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^10057248 is an apocalyptic number.

10057248 is a gapful number since it is divisible by the number (18) 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 10057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

10057248 is an abundant number, since it is smaller than the sum of its proper divisors (19190880).

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

10057248 is a wasteful number, since it uses less digits than its factorization.

10057248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10057248 is about 3171.3164458944. The cubic root of 10057248 is about 215.8538105459.

The spelling of 10057248 in words is "ten million, fifty-seven thousand, two hundred forty-eight".