28291576320 has 960 divisors, whose sum is σ = 119039880960. Its totient is φ = 6306398208.

The previous prime is 28291576309. The next prime is 28291576381. The reversal of 28291576320 is 2367519282.

28291576320 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 1 + 5 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317882836 + ... + 317882924.

It is an arithmetic number, because the mean of its divisors is an integer number (123999876).

Almost surely, 2^28291576320 is an apocalyptic number.

28291576320 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 28291576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59519940480).

28291576320 is an abundant number, since it is smaller than the sum of its proper divisors (90748304640).

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

28291576320 is an frugal number, since it uses more digits than its factorization.

28291576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28291576320 in words is "twenty-eight billion, two hundred ninety-one million, five hundred seventy-six thousand, three hundred twenty".