28824733094400 has 1440 divisors, whose sum is σ = 111239015247360. Its totient is φ = 7383104225280.

The previous prime is 28824733094341. The next prime is 28824733094489. The reversal of 28824733094400 is 449033742882.

28824733094400 is a `hidden beast` number, since 2 + 8 + 82 + 4 + 73 + 3 + 0 + 94 + 400 = 666.

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

It is a super-2 number, since 2×28824733094400² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 20114956084 + ... + 20114957516.

It is an arithmetic number, because the mean of its divisors is an integer number (77249316144).

Almost surely, 2^{28824733094400} is an apocalyptic number.

28824733094400 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 28824733094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55619507623680).

28824733094400 is an abundant number, since it is smaller than the sum of its proper divisors (82414282152960).

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

28824733094400 is a wasteful number, since it uses less digits than its factorization.

28824733094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 28824733094400 in words is "twenty-eight trillion, eight hundred twenty-four billion, seven hundred thirty-three million, ninety-four thousand, four hundred".