1922992128 has 324 divisors, whose sum is σ = 6226738245. Its totient is φ = 571539456.

The previous prime is 1922992087. The next prime is 1922992129. The reversal of 1922992128 is 8212992291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1759970304 + 163021824 = 41952^2 + 12768^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31008.

It is a super-3 number, since 3×1922992128³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1922992129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101210103 + ... + 101210121.

Almost surely, 2^1922992128 is an apocalyptic number.

1922992128 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 1922992128

1922992128 is an abundant number, since it is smaller than the sum of its proper divisors (4303746117).

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

1922992128 is a wasteful number, since it uses less digits than its factorization.

1922992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 1922992128 is about 43851.9341420649. The cubic root of 1922992128 is about 1243.5383087674.

Multiplying 1922992128 by its product of digits (93312), we get a square (179438241447936 = 13395456²).

The spelling of 1922992128 in words is "one billion, nine hundred twenty-two million, nine hundred ninety-two thousand, one hundred twenty-eight".