28112840294400 has 1368 divisors, whose sum is σ = 106015696783360. Its totient is φ = 7384218992640.

The previous prime is 28112840294393. The next prime is 28112840294447. The reversal of 28112840294400 is 449204821182.

28112840294400 is a `hidden beast` number, since 2 + 8 + 112 + 8 + 40 + 2 + 94 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202250649531 + ... + 202250649669.

Almost surely, 2^{28112840294400} is an apocalyptic number.

28112840294400 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 28112840294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53007848391680).

28112840294400 is an abundant number, since it is smaller than the sum of its proper divisors (77902856488960).

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

28112840294400 is an frugal number, since it uses more digits than its factorization.

28112840294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 28112840294400 in words is "twenty-eight trillion, one hundred twelve billion, eight hundred forty million, two hundred ninety-four thousand, four hundred".