1427313888 has 288 divisors, whose sum is σ = 5450844672. Its totient is φ = 342144000.

The previous prime is 1427313883. The next prime is 1427313889. The reversal of 1427313888 is 8883137241.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427313883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285813 + ... + 290763.

It is an arithmetic number, because the mean of its divisors is an integer number (18926544).

Almost surely, 2^1427313888 is an apocalyptic number.

1427313888 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 1427313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725422336).

1427313888 is an abundant number, since it is smaller than the sum of its proper divisors (4023530784).

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

1427313888 is a wasteful number, since it uses less digits than its factorization.

1427313888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4987 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1427313888 is about 37779.8079402212. The cubic root of 1427313888 is about 1125.9173128667.

The spelling of 1427313888 in words is "one billion, four hundred twenty-seven million, three hundred thirteen thousand, eight hundred eighty-eight".