1027924992 has 242 divisors, whose sum is σ = 3263560758. Its totient is φ = 322486272.

The previous prime is 1027924987. The next prime is 1027925021. The reversal of 1027924992 is 2994297201.

It can be written as a sum of positive squares in only one way, i.e., 967458816 + 60466176 = 31104^2 + 7776^2 .

It is an unprimeable number.

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 21 ways as a sum of consecutive naturals, for example, 60466168 + ... + 60466184.

Almost surely, 2^1027924992 is an apocalyptic number.

1027924992 is a gapful number since it is divisible by the number (12) 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 1027924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631780379).

1027924992 is an abundant number, since it is smaller than the sum of its proper divisors (2235635766).

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

1027924992 is an frugal number, since it uses more digits than its factorization.

1027924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1027924992 is about 32061.2693448029. The cubic root of 1027924992 is about 1009.2230053247.

The spelling of 1027924992 in words is "one billion, twenty-seven million, nine hundred twenty-four thousand, nine hundred ninety-two".