28824194880 has 336 divisors, whose sum is σ = 107349737040. Its totient is φ = 7056654336.

The previous prime is 28824194857. The next prime is 28824194897. The reversal of 28824194880 is 8849142882.

28824194880 is a `hidden beast` number, since 288 + 241 + 9 + 48 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4704862464 + 24119332416 = 68592^2 + 155304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7223926 + ... + 7227914.

It is an arithmetic number, because the mean of its divisors is an integer number (319493265).

Almost surely, 2^28824194880 is an apocalyptic number.

28824194880 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 28824194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53674868520).

28824194880 is an abundant number, since it is smaller than the sum of its proper divisors (78525542160).

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

28824194880 is a wasteful number, since it uses less digits than its factorization.

28824194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 28824194880 in words is "twenty-eight billion, eight hundred twenty-four million, one hundred ninety-four thousand, eight hundred eighty".