10057284 has 42 divisors (see below), whose sum is σ = 26395950. Its totient is φ = 3351456.

The previous prime is 10057273. The next prime is 10057297. The reversal of 10057284 is 48275001.

10057284 is a `hidden beast` number, since 10 + 0 + 572 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5391684 + 4665600 = 2322^2 + 2160^2 .

It is a super-2 number, since 2×10057284² = 202297922913312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1192 + ... + 4640.

It is an arithmetic number, because the mean of its divisors is an integer number (628475).

Almost surely, 2^10057284 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 10057284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197975).

10057284 is an abundant number, since it is smaller than the sum of its proper divisors (16338666).

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

10057284 is an equidigital number, since it uses as much as digits as its factorization.

10057284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3454 counting only the distinct ones).

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

The square root of 10057284 is about 3171.3221217656. The cubic root of 10057284 is about 215.8540680957.

The spelling of 10057284 in words is "ten million, fifty-seven thousand, two hundred eighty-four".