1026772992 has 312 divisors, whose sum is σ = 3557384064. Its totient is φ = 278986752.

The previous prime is 1026772973. The next prime is 1026773009. The reversal of 1026772992 is 2992776201.

It is a super-3 number, since 3×1026772992³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5935018 + ... + 5935190.

It is an arithmetic number, because the mean of its divisors is an integer number (11401872).

Almost surely, 2^1026772992 is an apocalyptic number.

1026772992 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 1026772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778692032).

1026772992 is an abundant number, since it is smaller than the sum of its proper divisors (2530611072).

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

1026772992 is a wasteful number, since it uses less digits than its factorization.

1026772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1026772992 is about 32043.2987065939. The cubic root of 1026772992 is about 1008.8458508626.

The spelling of 1026772992 in words is "one billion, twenty-six million, seven hundred seventy-two thousand, nine hundred ninety-two".