1238288832 has 252 divisors, whose sum is σ = 3961277320. Its totient is φ = 369515520.

The previous prime is 1238288819. The next prime is 1238288833. The reversal of 1238288832 is 2388828321.

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

Its product of digits (294912) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238288833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7596783 + ... + 7596945.

Almost surely, 2^1238288832 is an apocalyptic number.

1238288832 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 1238288832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980638660).

1238288832 is an abundant number, since it is smaller than the sum of its proper divisors (2722988488).

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

1238288832 is a wasteful number, since it uses less digits than its factorization.

1238288832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1238288832 is about 35189.3283823377. The cubic root of 1238288832 is about 1073.8426576823.

The spelling of 1238288832 in words is "one billion, two hundred thirty-eight million, two hundred eighty-eight thousand, eight hundred thirty-two".