28812933301824 has 567 divisors, whose sum is σ = 97433649606657. Its totient is φ = 8117095827456.

The previous prime is 28812933301793. The next prime is 28812933301847. The reversal of 28812933301824 is 42810333921882.

The square root of 28812933301824 is 5367768.

It is a perfect power (a square), and thus also a powerful number.

28812933301824 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 293 + 330 + 18 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5532694300224 + 23280239001600 = 2352168^2 + 4824960^2 .

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 80 ways as a sum of consecutive naturals, for example, 80258866957 + ... + 80258867315.

Almost surely, 2^{28812933301824} is an apocalyptic number.

28812933301824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28812933301824 is the 5367768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28812933301824

28812933301824 is an abundant number, since it is smaller than the sum of its proper divisors (68620716304833).

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

28812933301824 is an frugal number, since it uses more digits than its factorization.

28812933301824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28812933301824 in words is "twenty-eight trillion, eight hundred twelve billion, nine hundred thirty-three million, three hundred one thousand, eight hundred twenty-four".