13828932 has 54 divisors (see below), whose sum is σ = 37868922. Its totient is φ = 4253184.

The previous prime is 13828921. The next prime is 13828933. The reversal of 13828932 is 23982831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 695556 + 13133376 = 834^2 + 3624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828933) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4948 + ... + 7220.

Almost surely, 2^13828932 is an apocalyptic number.

13828932 is a gapful number since it is divisible by the number (12) 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 13828932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18934461).

13828932 is an abundant number, since it is smaller than the sum of its proper divisors (24039990).

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

13828932 is a wasteful number, since it uses less digits than its factorization.

13828932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2291 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13828932 is about 3718.7272016108. The cubic root of 13828932 is about 240.0285382731.

The spelling of 13828932 in words is "thirteen million, eight hundred twenty-eight thousand, nine hundred thirty-two".