28831379760 has 400 divisors, whose sum is σ = 108271864800. Its totient is φ = 7085740032.

The previous prime is 28831379747. The next prime is 28831379791. The reversal of 28831379760 is 6797313882.

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

It is a junction number, because it is equal to n+sod(n) for n = 28831379697 and 28831379706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4552276 + ... + 4558604.

It is an arithmetic number, because the mean of its divisors is an integer number (270679662).

Almost surely, 2^28831379760 is an apocalyptic number.

28831379760 is a gapful number since it is divisible by the number (20) 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 28831379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54135932400).

28831379760 is an abundant number, since it is smaller than the sum of its proper divisors (79440485040).

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

28831379760 is a wasteful number, since it uses less digits than its factorization.

28831379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 28831379760 in words is "twenty-eight billion, eight hundred thirty-one million, three hundred seventy-nine thousand, seven hundred sixty".