10557828 has 72 divisors (see below), whose sum is σ = 28619136. Its totient is φ = 3273600.

The previous prime is 10557823. The next prime is 10557829. The reversal of 10557828 is 82875501.

It is a super-2 number, since 2×10557828² = 222935464155168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10557792 and 10557801.

It is not an unprimeable number, because it can be changed into a prime (10557823) 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, 33793 + ... + 34103.

It is an arithmetic number, because the mean of its divisors is an integer number (397488).

Almost surely, 2^10557828 is an apocalyptic number.

10557828 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 10557828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309568).

10557828 is an abundant number, since it is smaller than the sum of its proper divisors (18061308).

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

10557828 is a wasteful number, since it uses less digits than its factorization.

10557828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 10557828 is about 3249.2811512702. The cubic root of 10557828 is about 219.3772193995.

The spelling of 10557828 in words is "ten million, five hundred fifty-seven thousand, eight hundred twenty-eight".