28743735283200 has 2880 divisors, whose sum is σ = 129646397337600. Its totient is φ = 5933747404800.

The previous prime is 28743735283187. The next prime is 28743735283213. The reversal of 28743735283200 is 238253734782.

28743735283200 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 3 + 7 + 352 + 83 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (28743735283187) and next prime (28743735283213).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34672780386 + ... + 34672781214.

Almost surely, 2^{28743735283200} is an apocalyptic number.

28743735283200 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 28743735283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64823198668800).

28743735283200 is an abundant number, since it is smaller than the sum of its proper divisors (100902662054400).

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

28743735283200 is a wasteful number, since it uses less digits than its factorization.

28743735283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 28743735283200 in words is "twenty-eight trillion, seven hundred forty-three billion, seven hundred thirty-five million, two hundred eighty-three thousand, two hundred".