10628262720 has 560 divisors, whose sum is σ = 39545806608. Its totient is φ = 2707292160.

The previous prime is 10628262713. The next prime is 10628262739. The reversal of 10628262720 is 2726282601.

10628262720 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 2 + 627 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 784448064 + 9843814656 = 28008^2 + 99216^2 .

It is a super-2 number, since 2×10628262720² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77578492 + ... + 77578628.

Almost surely, 2^10628262720 is an apocalyptic number.

10628262720 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 10628262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772903304).

10628262720 is an abundant number, since it is smaller than the sum of its proper divisors (28917543888).

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

10628262720 is a wasteful number, since it uses less digits than its factorization.

10628262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10628262720 in words is "ten billion, six hundred twenty-eight million, two hundred sixty-two thousand, seven hundred twenty".