28252326145680 has 1280 divisors, whose sum is σ = 122884134912000. Its totient is φ = 5807770730496.

The previous prime is 28252326145661. The next prime is 28252326145691. The reversal of 28252326145680 is 8654162325282.

28252326145680 is a `hidden beast` number, since 2 + 8 + 2 + 52 + 3 + 2 + 61 + 456 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1310454741 + ... + 1310476299.

It is an arithmetic number, because the mean of its divisors is an integer number (96003230400).

Almost surely, 2^{28252326145680} is an apocalyptic number.

28252326145680 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 28252326145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61442067456000).

28252326145680 is an abundant number, since it is smaller than the sum of its proper divisors (94631808766320).

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

28252326145680 is a wasteful number, since it uses less digits than its factorization.

28252326145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21773 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 28252326145680 in words is "twenty-eight trillion, two hundred fifty-two billion, three hundred twenty-six million, one hundred forty-five thousand, six hundred eighty".