28510011730746 has 640 divisors, whose sum is σ = 83211198529536. Its totient is φ = 7093539048960.

The previous prime is 28510011730721. The next prime is 28510011730751. The reversal of 28510011730746 is 64703711001582.

28510011730746 is a `hidden beast` number, since 28 + 510 + 0 + 1 + 1 + 73 + 0 + 7 + 46 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13303784151 + ... + 13303786293.

Almost surely, 2^{28510011730746} is an apocalyptic number.

28510011730746 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28510011730746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41605599264768).

28510011730746 is an abundant number, since it is smaller than the sum of its proper divisors (54701186798790).

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

28510011730746 is a wasteful number, since it uses less digits than its factorization.

28510011730746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 28510011730746 in words is "twenty-eight trillion, five hundred ten billion, eleven million, seven hundred thirty thousand, seven hundred forty-six".