13733388 has 72 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 4490640.

The previous prime is 13733387. The next prime is 13733393. The reversal of 13733388 is 88333731.

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

It is not an unprimeable number, because it can be changed into a prime (13733381) 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, 68913 + ... + 69111.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 2^13733388 is an apocalyptic number.

13733388 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 13733388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

13733388 is an abundant number, since it is smaller than the sum of its proper divisors (22957812).

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

13733388 is a wasteful number, since it uses less digits than its factorization.

13733388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13733388 is about 3705.8586049659. The cubic root of 13733388 is about 239.4744751049.

It can be divided in two parts, 1373 and 3388, that added together give a square (4761 = 69²).

The spelling of 13733388 in words is "thirteen million, seven hundred thirty-three thousand, three hundred eighty-eight".