10628334000 has 480 divisors, whose sum is σ = 40557404160. Its totient is φ = 2682720000.

The previous prime is 10628333993. The next prime is 10628334007. The reversal of 10628334000 is 43382601.

It is a happy number.

10628334000 is a `hidden beast` number, since 1 + 0 + 628 + 3 + 34 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10628333993) and next prime (10628334007).

It is a super-2 number, since 2×10628334000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10628334007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9233425 + ... + 9234575.

It is an arithmetic number, because the mean of its divisors is an integer number (84494592).

Almost surely, 2^10628334000 is an apocalyptic number.

10628334000 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 10628334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278702080).

10628334000 is an abundant number, since it is smaller than the sum of its proper divisors (29929070160).

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

10628334000 is a wasteful number, since it uses less digits than its factorization.

10628334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10628334000 in words is "ten billion, six hundred twenty-eight million, three hundred thirty-four thousand".