28812128803200 has 384 divisors, whose sum is σ = 106091337993600. Its totient is φ = 7636094208000.

The previous prime is 28812128803187. The next prime is 28812128803253. The reversal of 28812128803200 is 230882121882.

28812128803200 is a `hidden beast` number, since 28 + 8 + 1 + 21 + 288 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 13060275 + ... + 15106125.

It is an arithmetic number, because the mean of its divisors is an integer number (276279526025).

Almost surely, 2^{28812128803200} is an apocalyptic number.

28812128803200 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 28812128803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53045668996800).

28812128803200 is an abundant number, since it is smaller than the sum of its proper divisors (77279209190400).

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

28812128803200 is a wasteful number, since it uses less digits than its factorization.

28812128803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046047 (or 2046024 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 28812128803200 in words is "twenty-eight trillion, eight hundred twelve billion, one hundred twenty-eight million, eight hundred three thousand, two hundred".