28322553692160 has 4608 divisors, whose sum is σ = 138816970992000. Its totient is φ = 5415093927936.

The previous prime is 28322553692143. The next prime is 28322553692161. The reversal of 28322553692160 is 6129635522382.

It is a happy number.

28322553692160 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 2 + 5 + 536 + 92 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28322553692097 and 28322553692106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28322553692161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1231415377909 + ... + 1231415377931.

Almost surely, 2^{28322553692160} is an apocalyptic number.

28322553692160 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 28322553692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69408485496000).

28322553692160 is an abundant number, since it is smaller than the sum of its proper divisors (110494417299840).

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

28322553692160 is a wasteful number, since it uses less digits than its factorization.

28322553692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 28322553692160 in words is "twenty-eight trillion, three hundred twenty-two billion, five hundred fifty-three million, six hundred ninety-two thousand, one hundred sixty".