28933011993600 has 4752 divisors, whose sum is σ = 133443065347200. Its totient is φ = 6123434803200.

The previous prime is 28933011993559. The next prime is 28933011993631. The reversal of 28933011993600 is 639911033982.

It is a happy number.

28933011993600 is a `hidden beast` number, since 2 + 8 + 93 + 3 + 0 + 1 + 199 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 325090022356 + ... + 325090022444.

Almost surely, 2^{28933011993600} is an apocalyptic number.

28933011993600 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 28933011993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66721532673600).

28933011993600 is an abundant number, since it is smaller than the sum of its proper divisors (104510053353600).

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

28933011993600 is a wasteful number, since it uses less digits than its factorization.

28933011993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 28933011993600 in words is "twenty-eight trillion, nine hundred thirty-three billion, eleven million, nine hundred ninety-three thousand, six hundred".