28392161280000 has 840 divisors, whose sum is σ = 108178363442688. Its totient is φ = 6486491136000.

The previous prime is 28392161279983. The next prime is 28392161280001. The reversal of 28392161280000 is 8216129382.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×28392161280000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28392161280001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13762558969 + ... + 13762561031.

Almost surely, 2^{28392161280000} is an apocalyptic number.

28392161280000 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 28392161280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54089181721344).

28392161280000 is an abundant number, since it is smaller than the sum of its proper divisors (79786202162688).

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

28392161280000 is an frugal number, since it uses more digits than its factorization.

28392161280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 28392161280000 in words is "twenty-eight trillion, three hundred ninety-two billion, one hundred sixty-one million, two hundred eighty thousand".