10628409600 has 216 divisors, whose sum is σ = 38973929120. Its totient is φ = 2834196480.

The previous prime is 10628409553. The next prime is 10628409619. The reversal of 10628409600 is 690482601.

10628409600 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 40 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×10628409600² (a number of 21 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 142047 + ... + 203553.

Almost surely, 2^10628409600 is an apocalyptic number.

10628409600 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 10628409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486964560).

10628409600 is an abundant number, since it is smaller than the sum of its proper divisors (28345519520).

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

10628409600 is an equidigital number, since it uses as much as digits as its factorization.

10628409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61542 (or 61517 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10628409600 in words is "ten billion, six hundred twenty-eight million, four hundred nine thousand, six hundred".