1238728640 has 56 divisors (see below), whose sum is σ = 2979005472. Its totient is φ = 490572800.

The previous prime is 1238728637. The next prime is 1238728657. The reversal of 1238728640 is 468278321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13157 + ... + 51483.

Almost surely, 2^1238728640 is an apocalyptic number.

1238728640 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 1238728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489502736).

1238728640 is an abundant number, since it is smaller than the sum of its proper divisors (1740276832).

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

1238728640 is a wasteful number, since it uses less digits than its factorization.

1238728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38445 (or 38435 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 1238728640 is about 35195.5769948441. The cubic root of 1238728640 is about 1073.9697762984.

The spelling of 1238728640 in words is "one billion, two hundred thirty-eight million, seven hundred twenty-eight thousand, six hundred forty".