10628800 has 168 divisors, whose sum is σ = 32629856. Its totient is φ = 3317760.

The previous prime is 10628797. The next prime is 10628801. The reversal of 10628800 is 882601.

It is a super-2 number, since 2×10628800² = 225942778880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10628801) 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, 145564 + ... + 145636.

Almost surely, 2^10628800 is an apocalyptic number.

10628800 is a gapful number since it is divisible by the number (10) 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 10628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314928).

10628800 is an abundant number, since it is smaller than the sum of its proper divisors (22001056).

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

10628800 is a wasteful number, since it uses less digits than its factorization.

10628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10628800 is about 3260.1840438846. The cubic root of 10628800 is about 219.8676890374.

The spelling of 10628800 in words is "ten million, six hundred twenty-eight thousand, eight hundred".