28814932224 has 576 divisors, whose sum is σ = 96300852480. Its totient is φ = 8545886208.

The previous prime is 28814932219. The next prime is 28814932247. The reversal of 28814932224 is 42223941882.

28814932224 is a `hidden beast` number, since 288 + 1 + 49 + 322 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28814932224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269298379 + ... + 269298485.

It is an arithmetic number, because the mean of its divisors is an integer number (167188980).

Almost surely, 2^28814932224 is an apocalyptic number.

28814932224 is a gapful number since it is divisible by the number (24) 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 28814932224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48150426240).

28814932224 is an abundant number, since it is smaller than the sum of its proper divisors (67485920256).

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

28814932224 is an equidigital number, since it uses as much as digits as its factorization.

28814932224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 28814932224 in words is "twenty-eight billion, eight hundred fourteen million, nine hundred thirty-two thousand, two hundred twenty-four".