28901696054400 has 1344 divisors, whose sum is σ = 121349389392000. Its totient is φ = 6739694346240.

The previous prime is 28901696054347. The next prime is 28901696054431. The reversal of 28901696054400 is 445069610982.

28901696054400 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 1 + 6 + 96 + 0 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 576176521 + ... + 576226679.

It is an arithmetic number, because the mean of its divisors is an integer number (90289724250).

Almost surely, 2^{28901696054400} is an apocalyptic number.

28901696054400 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 28901696054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60674694696000).

28901696054400 is an abundant number, since it is smaller than the sum of its proper divisors (92447693337600).

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

28901696054400 is a wasteful number, since it uses less digits than its factorization.

28901696054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50233 (or 50201 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 28901696054400 in words is "twenty-eight trillion, nine hundred one billion, six hundred ninety-six million, fifty-four thousand, four hundred".