28633299932160 has 2112 divisors, whose sum is σ = 129731216993280. Its totient is φ = 5922201600000.

The previous prime is 28633299932137. The next prime is 28633299932219. The reversal of 28633299932160 is 6123999233682.

28633299932160 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 329 + 9 + 93 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18702350595 + ... + 18702352125.

Almost surely, 2^{28633299932160} is an apocalyptic number.

28633299932160 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 28633299932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64865608496640).

28633299932160 is an abundant number, since it is smaller than the sum of its proper divisors (101097917061120).

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

28633299932160 is a wasteful number, since it uses less digits than its factorization.

28633299932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 28633299932160 in words is "twenty-eight trillion, six hundred thirty-three billion, two hundred ninety-nine million, nine hundred thirty-two thousand, one hundred sixty".