14833728 has 168 divisors, whose sum is σ = 52515008. Its totient is φ = 3898368.

The previous prime is 14833723. The next prime is 14833757. The reversal of 14833728 is 82733841.

14833728 = T₉₇ + T₉₈ + ... + T₄₄₇.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14833692 and 14833701.

It is not an unprimeable number, because it can be changed into a prime (14833723) 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, 52275 + ... + 52557.

Almost surely, 2^14833728 is an apocalyptic number.

14833728 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 14833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257504).

14833728 is an abundant number, since it is smaller than the sum of its proper divisors (37681280).

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

14833728 is a wasteful number, since it uses less digits than its factorization.

14833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 14833728 is about 3851.4579057806. The cubic root of 14833728 is about 245.7065706197.

The spelling of 14833728 in words is "fourteen million, eight hundred thirty-three thousand, seven hundred twenty-eight".