1264728192 has 256 divisors, whose sum is σ = 4379961600. Its totient is φ = 313786368.

The previous prime is 1264728167. The next prime is 1264728197. The reversal of 1264728192 is 2918274621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1264728197) 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 31 ways as a sum of consecutive naturals, for example, 592984 + ... + 595112.

It is an arithmetic number, because the mean of its divisors is an integer number (17109225).

Almost surely, 2^1264728192 is an apocalyptic number.

1264728192 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 1264728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189980800).

1264728192 is an abundant number, since it is smaller than the sum of its proper divisors (3115233408).

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

1264728192 is a wasteful number, since it uses less digits than its factorization.

1264728192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2171 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 1264728192 is about 35563.0171948332. The cubic root of 1264728192 is about 1081.4316268023.

The spelling of 1264728192 in words is "one billion, two hundred sixty-four million, seven hundred twenty-eight thousand, one hundred ninety-two".