14974128 has 120 divisors (see below), whose sum is σ = 47618480. Its totient is φ = 4354560.

The previous prime is 14974123. The next prime is 14974139. The reversal of 14974128 is 82147941.

14974128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

14974128 is a nontrivial binomial coefficient, being equal to C(5473, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 14974092 and 14974101.

It is not an unprimeable number, because it can be changed into a prime (14974123) 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, 35358 + ... + 35778.

Almost surely, 2^14974128 is an apocalyptic number.

14974128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14974128 is the 5472-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14974128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809240).

14974128 is an abundant number, since it is smaller than the sum of its proper divisors (32644352).

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

14974128 is a wasteful number, since it uses less digits than its factorization.

14974128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 14974128 is about 3869.6418438920. The cubic root of 14974128 is about 246.4793350818.

It can be divided in two parts, 149741 and 28, that added together give a square (149769 = 387²).

The spelling of 14974128 in words is "fourteen million, nine hundred seventy-four thousand, one hundred twenty-eight".