28734182400 has 1056 divisors, whose sum is σ = 122227319808. Its totient is φ = 5780275200.

The previous prime is 28734182383. The next prime is 28734182423. The reversal of 28734182400 is 428143782.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254284744 + ... + 254284856.

It is an arithmetic number, because the mean of its divisors is an integer number (115745568).

Almost surely, 2^28734182400 is an apocalyptic number.

28734182400 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 28734182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61113659904).

28734182400 is an abundant number, since it is smaller than the sum of its proper divisors (93493137408).

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

28734182400 is a wasteful number, since it uses less digits than its factorization.

28734182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 28734182400 in words is "twenty-eight billion, seven hundred thirty-four million, one hundred eighty-two thousand, four hundred".