28119733605600 has 1728 divisors, whose sum is σ = 125598408062400. Its totient is φ = 5391262679040.

The previous prime is 28119733605581. The next prime is 28119733605641. The reversal of 28119733605600 is 650633791182.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 753679746 + ... + 753717054.

It is an arithmetic number, because the mean of its divisors is an integer number (72684263925).

Almost surely, 2^{28119733605600} is an apocalyptic number.

28119733605600 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 28119733605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62799204031200).

28119733605600 is an abundant number, since it is smaller than the sum of its proper divisors (97478674456800).

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

28119733605600 is a wasteful number, since it uses less digits than its factorization.

28119733605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37405 (or 37385 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 28119733605600 in words is "twenty-eight trillion, one hundred nineteen billion, seven hundred thirty-three million, six hundred five thousand, six hundred".