927982033920 has 1760 divisors, whose sum is σ = 3766427596800. Its totient is φ = 217379635200.

The previous prime is 927982033883. The next prime is 927982033933. The reversal of 927982033920 is 29330289729.

It is a happy number.

It is a super-2 number, since 2×927982033920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7083832255 + ... + 7083832385.

It is an arithmetic number, because the mean of its divisors is an integer number (2140015680).

Almost surely, 2^927982033920 is an apocalyptic number.

927982033920 is a gapful number since it is divisible by the number (90) 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 927982033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883213798400).

927982033920 is an abundant number, since it is smaller than the sum of its proper divisors (2838445562880).

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

927982033920 is a wasteful number, since it uses less digits than its factorization.

927982033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 927982033920 in words is "nine hundred twenty-seven billion, nine hundred eighty-two million, thirty-three thousand, nine hundred twenty".