28298291918400 has 2016 divisors, whose sum is σ = 125271434496000. Its totient is φ = 6042735820800.

The previous prime is 28298291918387. The next prime is 28298291918419. The reversal of 28298291918400 is 481919289282.

28298291918400 is a `hidden beast` number, since 2 + 8 + 298 + 291 + 9 + 18 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4440337614 + ... + 4440343986.

Almost surely, 2^{28298291918400} is an apocalyptic number.

28298291918400 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 28298291918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62635717248000).

28298291918400 is an abundant number, since it is smaller than the sum of its proper divisors (96973142577600).

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

28298291918400 is a wasteful number, since it uses less digits than its factorization.

28298291918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 28298291918400 in words is "twenty-eight trillion, two hundred ninety-eight billion, two hundred ninety-one million, nine hundred eighteen thousand, four hundred".