1038828384 has 144 divisors (see below), whose sum is σ = 3412478160. Its totient is φ = 296263680.

The previous prime is 1038828379. The next prime is 1038828389. The reversal of 1038828384 is 4838288301.

It is an interprime number because it is at equal distance from previous prime (1038828379) and next prime (1038828389).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1038828384² = 2158328822808102912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038828389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44212 + ... + 63500.

It is an arithmetic number, because the mean of its divisors is an integer number (23697765).

Almost surely, 2^1038828384 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 1038828384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706239080).

1038828384 is an abundant number, since it is smaller than the sum of its proper divisors (2373649776).

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

1038828384 is a wasteful number, since it uses less digits than its factorization.

1038828384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19333 (or 19322 counting only the distinct ones).

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

The square root of 1038828384 is about 32230.8607393597. The cubic root of 1038828384 is about 1012.7788013203.

The spelling of 1038828384 in words is "one billion, thirty-eight million, eight hundred twenty-eight thousand, three hundred eighty-four".