1038967488 has 168 divisors, whose sum is σ = 3245205600. Its totient is φ = 315887616.

The previous prime is 1038967487. The next prime is 1038967493. The reversal of 1038967488 is 8847698301.

It is a super-2 number, since 2×1038967488² = 2158906882242060288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1038967483) 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, 665653 + ... + 667211.

It is an arithmetic number, because the mean of its divisors is an integer number (19316700).

Almost surely, 2^1038967488 is an apocalyptic number.

1038967488 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 1038967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622602800).

1038967488 is an abundant number, since it is smaller than the sum of its proper divisors (2206238112).

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

1038967488 is a wasteful number, since it uses less digits than its factorization.

1038967488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1038967488 is about 32233.0185989460. The cubic root of 1038967488 is about 1012.8240045822.

It can be divided in two parts, 10389 and 67488, that added together give a palindrome (77877).

The spelling of 1038967488 in words is "one billion, thirty-eight million, nine hundred sixty-seven thousand, four hundred eighty-eight".