10445084928 has 216 divisors, whose sum is σ = 31854513600. Its totient is φ = 3282481152.

The previous prime is 10445084917. The next prime is 10445084939. The reversal of 10445084928 is 82948054401.

10445084928 is a `hidden beast` number, since 10 + 44 + 508 + 4 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10445084917) and next prime (10445084939).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11775301 + ... + 11776187.

It is an arithmetic number, because the mean of its divisors is an integer number (147474600).

Almost surely, 2^10445084928 is an apocalyptic number.

10445084928 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 10445084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927256800).

10445084928 is an abundant number, since it is smaller than the sum of its proper divisors (21409428672).

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

10445084928 is a wasteful number, since it uses less digits than its factorization.

10445084928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10445084928 in words is "ten billion, four hundred forty-five million, eighty-four thousand, nine hundred twenty-eight".