192561228288 has 960 divisors, whose sum is σ = 690127257600. Its totient is φ = 52533411840.

The previous prime is 192561228269. The next prime is 192561228289. The reversal of 192561228288 is 882822165291.

192561228288 is a `hidden beast` number, since 1 + 92 + 56 + 1 + 228 + 288 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (192561228289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1516230081 + ... + 1516230207.

It is an arithmetic number, because the mean of its divisors is an integer number (718882560).

Almost surely, 2^192561228288 is an apocalyptic number.

192561228288 is a gapful number since it is divisible by the number (18) 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 192561228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345063628800).

192561228288 is an abundant number, since it is smaller than the sum of its proper divisors (497566029312).

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

192561228288 is a wasteful number, since it uses less digits than its factorization.

192561228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 215 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 192561228288 in words is "one hundred ninety-two billion, five hundred sixty-one million, two hundred twenty-eight thousand, two hundred eighty-eight".