1138428624 has 160 divisors (see below), whose sum is σ = 3248680960. Its totient is φ = 342144000.

The previous prime is 1138428623. The next prime is 1138428661. The reversal of 1138428624 is 4268248311.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 (1138428623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1893924 + ... + 1894524.

It is an arithmetic number, because the mean of its divisors is an integer number (20304256).

Almost surely, 2^1138428624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138428624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624340480).

1138428624 is an abundant number, since it is smaller than the sum of its proper divisors (2110252336).

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

1138428624 is a wasteful number, since it uses less digits than its factorization.

1138428624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 1138428624 is about 33740.6079376172. The cubic root of 1138428624 is about 1044.1637270560.

The spelling of 1138428624 in words is "one billion, one hundred thirty-eight million, four hundred twenty-eight thousand, six hundred twenty-four".