28013494118400 has 4536 divisors, whose sum is σ = 131112093777210. Its totient is φ = 5912726077440.

The previous prime is 28013494118399. The next prime is 28013494118411. The reversal of 28013494118400 is 481149431082.

28013494118400 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 3 + 494 + 118 + 40 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 10548048946176 + 17465445172224 = 3247776^2 + 4179168^2 .

It is a tau number, because it is divible by the number of its divisors (4536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 528556492774 + ... + 528556492826.

Almost surely, 2^{28013494118400} is an apocalyptic number.

28013494118400 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 28013494118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65556046888605).

28013494118400 is an abundant number, since it is smaller than the sum of its proper divisors (103098599658810).

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

28013494118400 is an equidigital number, since it uses as much as digits as its factorization.

28013494118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28013494118400 in words is "twenty-eight trillion, thirteen billion, four hundred ninety-four million, one hundred eighteen thousand, four hundred".