28406930947200 has 3456 divisors, whose sum is σ = 124017262387200. Its totient is φ = 6393290342400.

The previous prime is 28406930947193. The next prime is 28406930947211. The reversal of 28406930947200 is 274903960482.

28406930947200 is a `hidden beast` number, since 2 + 84 + 0 + 6 + 93 + 0 + 9 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 77403081417 + ... + 77403081783.

Almost surely, 2^{28406930947200} is an apocalyptic number.

28406930947200 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 28406930947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62008631193600).

28406930947200 is an abundant number, since it is smaller than the sum of its proper divisors (95610331440000).

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

28406930947200 is a wasteful number, since it uses less digits than its factorization.

28406930947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 28406930947200 in words is "twenty-eight trillion, four hundred six billion, nine hundred thirty million, nine hundred forty-seven thousand, two hundred".