14728952 has 64 divisors (see below), whose sum is σ = 33792000. Its totient is φ = 5878656.

The previous prime is 14728951. The next prime is 14728969. The reversal of 14728952 is 25982741.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14728951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115913 + ... + 116039.

It is an arithmetic number, because the mean of its divisors is an integer number (528000).

Almost surely, 2^14728952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14728952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896000).

14728952 is an abundant number, since it is smaller than the sum of its proper divisors (19063048).

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

14728952 is a wasteful number, since it uses less digits than its factorization.

14728952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 14728952 is about 3837.8316794774. The cubic root of 14728952 is about 245.1266983168.

The spelling of 14728952 in words is "fourteen million, seven hundred twenty-eight thousand, nine hundred fifty-two".