1538288640 has 528 divisors, whose sum is σ = 6437733120. Its totient is φ = 331776000.

The previous prime is 1538288617. The next prime is 1538288657. The reversal of 1538288640 is 468828351.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6128515 + ... + 6128765.

Almost surely, 2^1538288640 is an apocalyptic number.

1538288640 is a gapful number since it is divisible by the number (10) 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 1538288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218866560).

1538288640 is an abundant number, since it is smaller than the sum of its proper divisors (4899444480).

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

1538288640 is a wasteful number, since it uses less digits than its factorization.

1538288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1538288640 is about 39221.0229341357. The cubic root of 1538288640 is about 1154.3724256938.

The spelling of 1538288640 in words is "one billion, five hundred thirty-eight million, two hundred eighty-eight thousand, six hundred forty".