10623730607028 has 864 divisors, whose sum is σ = 36288606541824. Its totient is φ = 2638256832000.

The previous prime is 10623730607023. The next prime is 10623730607033. The reversal of 10623730607028 is 82070603732601.

10623730607028 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 3 + 7 + 30 + 607 + 0 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10623730607023) and next prime (10623730607033).

It is a super-2 number, since 2×10623730607028² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10623730607023) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10304296873 + ... + 10304297903.

It is an arithmetic number, because the mean of its divisors is an integer number (42000702016).

Almost surely, 2^{10623730607028} is an apocalyptic number.

10623730607028 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 10623730607028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144303270912).

10623730607028 is an abundant number, since it is smaller than the sum of its proper divisors (25664875934796).

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

10623730607028 is a wasteful number, since it uses less digits than its factorization.

10623730607028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10623730607028 in words is "ten trillion, six hundred twenty-three billion, seven hundred thirty million, six hundred seven thousand, twenty-eight".