1338828100 has 27 divisors (see below), whose sum is σ = 2906051197. Its totient is φ = 535384880.

The previous prime is 1338828079. The next prime is 1338828107. The reversal of 1338828100 is 18288331.

The square root of 1338828100 is 36590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 481978116 + 856849984 = 21954^2 + 29272^2 .

It is a super-2 number, since 2×1338828100² = 3584921362699220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338828107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 364071 + ... + 367729.

Almost surely, 2^1338828100 is an apocalyptic number.

1338828100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1338828100 is the 36590-th square number.

It is an amenable number.

1338828100 is an abundant number, since it is smaller than the sum of its proper divisors (1567223097).

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

1338828100 is an frugal number, since it uses more digits than its factorization.

1338828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The cubic root of 1338828100 is about 1102.1522874116.

Multiplying 1338828100 by its product of nonzero digits (9216), we get a square (12338639769600 = 3512640²).

The spelling of 1338828100 in words is "one billion, three hundred thirty-eight million, eight hundred twenty-eight thousand, one hundred".