1392228864 has 320 divisors, whose sum is σ = 4546375680. Its totient is φ = 418037760.

The previous prime is 1392228829. The next prime is 1392228899. The reversal of 1392228864 is 4688222931.

It is an interprime number because it is at equal distance from previous prime (1392228829) and next prime (1392228899).

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1392228864 = 132³ + 1116³ = 360³ + 1104³.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10962369 + ... + 10962495.

It is an arithmetic number, because the mean of its divisors is an integer number (14207424).

Almost surely, 2^1392228864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273187840).

1392228864 is an abundant number, since it is smaller than the sum of its proper divisors (3154146816).

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

1392228864 is a wasteful number, since it uses less digits than its factorization.

1392228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1392228864 is about 37312.5831858369. The cubic root of 1392228864 is about 1116.6152232730.

The spelling of 1392228864 in words is "one billion, three hundred ninety-two million, two hundred twenty-eight thousand, eight hundred sixty-four".