1381788288 has 256 divisors, whose sum is σ = 4472496000. Its totient is φ = 418037760.

The previous prime is 1381788277. The next prime is 1381788307. The reversal of 1381788288 is 8828871831.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1703403 + ... + 1704213.

Almost surely, 2^1381788288 is an apocalyptic number.

1381788288 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 1381788288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236248000).

1381788288 is an abundant number, since it is smaller than the sum of its proper divisors (3090707712).

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

1381788288 is a wasteful number, since it uses less digits than its factorization.

1381788288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 862 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 54.

The square root of 1381788288 is about 37172.4129967372. The cubic root of 1381788288 is about 1113.8169835803.

The spelling of 1381788288 in words is "one billion, three hundred eighty-one million, seven hundred eighty-eight thousand, two hundred eighty-eight".