190195856928 has 864 divisors, whose sum is σ = 729920056320. Its totient is φ = 45616619520.

The previous prime is 190195856927. The next prime is 190195856969. The reversal of 190195856928 is 829658591091.

190195856928 is a `hidden beast` number, since 1 + 9 + 0 + 19 + 58 + 569 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (190195856927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 378122725 + ... + 378123227.

It is an arithmetic number, because the mean of its divisors is an integer number (844814880).

Almost surely, 2^190195856928 is an apocalyptic number.

190195856928 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 190195856928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364960028160).

190195856928 is an abundant number, since it is smaller than the sum of its proper divisors (539724199392).

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

190195856928 is a wasteful number, since it uses less digits than its factorization.

190195856928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 190195856928 in words is "one hundred ninety billion, one hundred ninety-five million, eight hundred fifty-six thousand, nine hundred twenty-eight".