28432280448 has 640 divisors, whose sum is σ = 100852899840. Its totient is φ = 7838208000.

The previous prime is 28432280431. The next prime is 28432280467. The reversal of 28432280448 is 84408223482.

28432280448 is a `hidden beast` number, since 284 + 322 + 8 + 0 + 4 + 48 = 666.

It is a congruent number.

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, 188293173 + ... + 188293323.

It is an arithmetic number, because the mean of its divisors is an integer number (157582656).

Almost surely, 2^28432280448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28432280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50426449920).

28432280448 is an abundant number, since it is smaller than the sum of its proper divisors (72420619392).

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

28432280448 is a wasteful number, since it uses less digits than its factorization.

28432280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 28432280448 in words is "twenty-eight billion, four hundred thirty-two million, two hundred eighty thousand, four hundred forty-eight".