1395228672 has 256 divisors, whose sum is σ = 4403952000. Its totient is φ = 435290112.

The previous prime is 1395228649. The next prime is 1395228677. The reversal of 1395228672 is 2768225931.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395228677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16809943 + ... + 16810025.

Almost surely, 2^1395228672 is an apocalyptic number.

1395228672 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 1395228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201976000).

1395228672 is an abundant number, since it is smaller than the sum of its proper divisors (3008723328).

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

1395228672 is an frugal number, since it uses more digits than its factorization.

1395228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1395228672 is about 37352.7598980316. The cubic root of 1395228672 is about 1117.4166308690.

It can be divided in two parts, 13952 and 28672, that added together give a palindrome (42624).

The spelling of 1395228672 in words is "one billion, three hundred ninety-five million, two hundred twenty-eight thousand, six hundred seventy-two".