10928950833600 has 1344 divisors, whose sum is σ = 43427954718720. Its totient is φ = 2662996377600.

The previous prime is 10928950833551. The next prime is 10928950833611. The reversal of 10928950833600 is 633805982901.

10928950833600 is a `hidden beast` number, since 1 + 0 + 9 + 28 + 9 + 5 + 0 + 8 + 3 + 3 + 600 = 666.

It is a super-2 number, since 2×10928950833600² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4521699592 + ... + 4521702008.

Almost surely, 2^{10928950833600} is an apocalyptic number.

10928950833600 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 10928950833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21713977359360).

10928950833600 is an abundant number, since it is smaller than the sum of its proper divisors (32499003885120).

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

10928950833600 is a wasteful number, since it uses less digits than its factorization.

10928950833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10928950833600 in words is "ten trillion, nine hundred twenty-eight billion, nine hundred fifty million, eight hundred thirty-three thousand, six hundred".