1338337728 has 280 divisors, whose sum is σ = 4884493152. Its totient is φ = 352843776.

The previous prime is 1338337727. The next prime is 1338337729. The reversal of 1338337728 is 8277338331.

It is an interprime number because it is at equal distance from previous prime (1338337727) and next prime (1338337729).

It is a super-2 number, since 2×1338337728² = 3582295748376403968, which contains 22 as substring.

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 (1338337723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 470326 + ... + 473162.

Almost surely, 2^1338337728 is an apocalyptic number.

1338337728 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 1338337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442246576).

1338337728 is an abundant number, since it is smaller than the sum of its proper divisors (3546155424).

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

1338337728 is a wasteful number, since it uses less digits than its factorization.

1338337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2862 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 1338337728 is about 36583.2984844177. The cubic root of 1338337728 is about 1102.0177093628.

The spelling of 1338337728 in words is "one billion, three hundred thirty-eight million, three hundred thirty-seven thousand, seven hundred twenty-eight".