28832217600 has 480 divisors, whose sum is σ = 104394121920. Its totient is φ = 6982205440.

The previous prime is 28832217593. The next prime is 28832217607. The reversal of 28832217600 is 671223882.

It is an interprime number because it is at equal distance from previous prime (28832217593) and next prime (28832217607).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (28832217607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18930439 + ... + 18931961.

It is an arithmetic number, because the mean of its divisors is an integer number (217487754).

Almost surely, 2^28832217600 is an apocalyptic number.

28832217600 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 28832217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52197060960).

28832217600 is an abundant number, since it is smaller than the sum of its proper divisors (75561904320).

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

28832217600 is a wasteful number, since it uses less digits than its factorization.

28832217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 28832217600 in words is "twenty-eight billion, eight hundred thirty-two million, two hundred seventeen thousand, six hundred".