10931977728 has 200 divisors, whose sum is σ = 37291361712. Its totient is φ = 3123339264.

The previous prime is 10931977699. The next prime is 10931977739. The reversal of 10931977728 is 82777913901.

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 19 ways as a sum of consecutive naturals, for example, 271476 + ... + 309132.

Almost surely, 2^10931977728 is an apocalyptic number.

10931977728 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 10931977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645680856).

10931977728 is an abundant number, since it is smaller than the sum of its proper divisors (26359383984).

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

10931977728 is an frugal number, since it uses more digits than its factorization.

10931977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37694 (or 37669 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 10931977728 in words is "ten billion, nine hundred thirty-one million, nine hundred seventy-seven thousand, seven hundred twenty-eight".