28304433612000 has 1920 divisors, whose sum is σ = 128884385710080. Its totient is φ = 5924117606400.

The previous prime is 28304433611963. The next prime is 28304433612017. The reversal of 28304433612000 is 21633440382.

28304433612000 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 4 + 4 + 33 + 612 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×28304433612000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3744464221 + ... + 3744471779.

It is an arithmetic number, because the mean of its divisors is an integer number (67127284224).

Almost surely, 2^{28304433612000} is an apocalyptic number.

28304433612000 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 28304433612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64442192855040).

28304433612000 is an abundant number, since it is smaller than the sum of its proper divisors (100579952098080).

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

28304433612000 is a wasteful number, since it uses less digits than its factorization.

28304433612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 28304433612000 in words is "twenty-eight trillion, three hundred four billion, four hundred thirty-three million, six hundred twelve thousand".