14948928 has 112 divisors (see below), whose sum is σ = 45232320. Its totient is φ = 4838400.

The previous prime is 14948917. The next prime is 14948929. The reversal of 14948928 is 82984941.

14948928 is a `hidden beast` number, since 149 + 489 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14948929) 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, 70743 + ... + 70953.

It is an arithmetic number, because the mean of its divisors is an integer number (403860).

Almost surely, 2^14948928 is an apocalyptic number.

14948928 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 14948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22616160).

14948928 is an abundant number, since it is smaller than the sum of its proper divisors (30283392).

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

14948928 is a wasteful number, since it uses less digits than its factorization.

14948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 14948928 is about 3866.3843575103. The cubic root of 14948928 is about 246.3409905355.

It can be divided in two parts, 14948 and 928, that added together give a square (15876 = 126²).

The spelling of 14948928 in words is "fourteen million, nine hundred forty-eight thousand, nine hundred twenty-eight".