28817356512400 has 135 divisors (see below), whose sum is σ = 69771498830553. Its totient is φ = 11438088489600.

The previous prime is 28817356512383. The next prime is 28817356512487. The reversal of 28817356512400 is 421565371882.

The square root of 28817356512400 is 5368180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10374248344464 + 18443108167936 = 3220908^2 + 4294544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14923539435 + ... + 14923541365.

Almost surely, 2^{28817356512400} is an apocalyptic number.

28817356512400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28817356512400 is the 5368180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28817356512400

28817356512400 is an abundant number, since it is smaller than the sum of its proper divisors (40954142318153).

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

28817356512400 is an frugal number, since it uses more digits than its factorization.

28817356512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 28817356512400 in words is "twenty-eight trillion, eight hundred seventeen billion, three hundred fifty-six million, five hundred twelve thousand, four hundred".