10627676928 has 504 divisors, whose sum is σ = 36031435776. Its totient is φ = 3097958400.

The previous prime is 10627676909. The next prime is 10627676947. The reversal of 10627676928 is 82967672601.

10627676928 is a `hidden beast` number, since 1 + 0 + 627 + 6 + 7 + 6 + 9 + 2 + 8 = 666.

10627676928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10627676909) and next prime (10627676947).

It is a super-2 number, since 2×10627676928² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63638701 + ... + 63638867.

It is an arithmetic number, because the mean of its divisors is an integer number (71490944).

Almost surely, 2^10627676928 is an apocalyptic number.

10627676928 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 10627676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18015717888).

10627676928 is an abundant number, since it is smaller than the sum of its proper divisors (25403758848).

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

10627676928 is an equidigital number, since it uses as much as digits as its factorization.

10627676928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10627676928 in words is "ten billion, six hundred twenty-seven million, six hundred seventy-six thousand, nine hundred twenty-eight".