1792313952 has 288 divisors, whose sum is σ = 5671161216. Its totient is φ = 495306240.

The previous prime is 1792313921. The next prime is 1792313959. The reversal of 1792313952 is 2593132971.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1792313959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21594103 + ... + 21594185.

It is an arithmetic number, because the mean of its divisors is an integer number (19691532).

Almost surely, 2^1792313952 is an apocalyptic number.

1792313952 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 1792313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835580608).

1792313952 is an abundant number, since it is smaller than the sum of its proper divisors (3878847264).

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

1792313952 is a wasteful number, since it uses less digits than its factorization.

1792313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 1792313952 is about 42335.7290240761. The cubic root of 1792313952 is about 1214.7065178806.

The spelling of 1792313952 in words is "one billion, seven hundred ninety-two million, three hundred thirteen thousand, nine hundred fifty-two".