28894769971200 has 1440 divisors, whose sum is σ = 122841962923680. Its totient is φ = 6604518850560.

The previous prime is 28894769971183. The next prime is 28894769971201. The reversal of 28894769971200 is 217996749882.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (4!)⁵.

28894769971200 is a `hidden beast` number, since 2 + 8 + 89 + 476 + 9 + 9 + 71 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×28894769971200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28894769971201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4127824281597 + ... + 4127824281603.

It is an arithmetic number, because the mean of its divisors is an integer number (85306918697).

Almost surely, 2^{28894769971200} is an apocalyptic number.

28894769971200 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 28894769971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61420981461840).

28894769971200 is an abundant number, since it is smaller than the sum of its proper divisors (93947192952480).

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

28894769971200 is an frugal number, since it uses more digits than its factorization.

28894769971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 28894769971200 in words is "twenty-eight trillion, eight hundred ninety-four billion, seven hundred sixty-nine million, nine hundred seventy-one thousand, two hundred".