28372692492144 has 1680 divisors, whose sum is σ = 113069078115840. Its totient is φ = 6776679490560.

The previous prime is 28372692492143. The next prime is 28372692492191. The reversal of 28372692492144 is 44129429627382.

28372692492144 is a `hidden beast` number, since 2 + 8 + 3 + 72 + 69 + 2 + 492 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28372692492143) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 29340943149 + ... + 29340944115.

It is an arithmetic number, because the mean of its divisors is an integer number (67303022688).

Almost surely, 2^{28372692492144} is an apocalyptic number.

28372692492144 is a gapful number since it is divisible by the number (24) 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 28372692492144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56534539057920).

28372692492144 is an abundant number, since it is smaller than the sum of its proper divisors (84696385623696).

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

28372692492144 is a wasteful number, since it uses less digits than its factorization.

28372692492144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1362 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 28372692492144 in words is "twenty-eight trillion, three hundred seventy-two billion, six hundred ninety-two million, four hundred ninety-two thousand, one hundred forty-four".