1395792288 has 144 divisors (see below), whose sum is σ = 4558226400. Its totient is φ = 400688640.

The previous prime is 1395792287. The next prime is 1395792313. The reversal of 1395792288 is 8822975931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1395792288² = 3896472222480549888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1395792287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48598 + ... + 71786.

It is an arithmetic number, because the mean of its divisors is an integer number (31654350).

Almost surely, 2^1395792288 is an apocalyptic number.

1395792288 is a gapful number since it is divisible by the number (18) 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 1395792288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279113200).

1395792288 is an abundant number, since it is smaller than the sum of its proper divisors (3162434112).

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

1395792288 is a wasteful number, since it uses less digits than its factorization.

1395792288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23235 (or 23224 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 1395792288 is about 37360.3036390231. The cubic root of 1395792288 is about 1117.5670743338.

The spelling of 1395792288 in words is "one billion, three hundred ninety-five million, seven hundred ninety-two thousand, two hundred eighty-eight".