28197294746400 has 1728 divisors, whose sum is σ = 116233230597120. Its totient is φ = 6376469299200.

The previous prime is 28197294746389. The next prime is 28197294746417. The reversal of 28197294746400 is 464749279182.

28197294746400 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 72 + 94 + 74 + 6 + 400 = 666.

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, 6292632160 + ... + 6292636640.

It is an arithmetic number, because the mean of its divisors is an integer number (67264601040).

Almost surely, 2^{28197294746400} is an apocalyptic number.

28197294746400 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 28197294746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58116615298560).

28197294746400 is an abundant number, since it is smaller than the sum of its proper divisors (88035935850720).

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

28197294746400 is a wasteful number, since it uses less digits than its factorization.

28197294746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 28197294746400 in words is "twenty-eight trillion, one hundred ninety-seven billion, two hundred ninety-four million, seven hundred forty-six thousand, four hundred".