17928025920 has 1344 divisors, whose sum is σ = 81058268160. Its totient is φ = 3703504896.

The previous prime is 17928025919. The next prime is 17928025931. The reversal of 17928025920 is 2952082971.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×17928025920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338264614 + ... + 338264666.

Almost surely, 2^17928025920 is an apocalyptic number.

17928025920 is a gapful number since it is divisible by the number (10) 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 17928025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40529134080).

17928025920 is an abundant number, since it is smaller than the sum of its proper divisors (63130242240).

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

17928025920 is a wasteful number, since it uses less digits than its factorization.

17928025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 17928025920 in words is "seventeen billion, nine hundred twenty-eight million, twenty-five thousand, nine hundred twenty".