28333903161600 has 405 divisors, whose sum is σ = 104777522372523. Its totient is φ = 7554685501440.

The previous prime is 28333903161503. The next prime is 28333903161617. The reversal of 28333903161600 is 616130933382.

The square root of 28333903161600 is 5322960.

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

28333903161600 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 3 + 9 + 0 + 31 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6828646996224 + 21505256165376 = 2613168^2 + 4637376^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3832527504 + ... + 3832534896.

Almost surely, 2^{28333903161600} is an apocalyptic number.

28333903161600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28333903161600 is the 5322960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28333903161600

28333903161600 is an abundant number, since it is smaller than the sum of its proper divisors (76443619210923).

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

28333903161600 is an frugal number, since it uses more digits than its factorization.

28333903161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14824 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 28333903161600 in words is "twenty-eight trillion, three hundred thirty-three billion, nine hundred three million, one hundred sixty-one thousand, six hundred".