14628953280 has 112 divisors (see below), whose sum is σ = 46521343584. Its totient is φ = 3894804480.

The previous prime is 14628953279. The next prime is 14628953293. The reversal of 14628953280 is 8235982641.

14628953280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603474 + ... + 627246.

Almost surely, 2^14628953280 is an apocalyptic number.

14628953280 is a gapful number since it is divisible by the number (10) 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 14628953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23260671792).

14628953280 is an abundant number, since it is smaller than the sum of its proper divisors (31892390304).

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

14628953280 is a wasteful number, since it uses less digits than its factorization.

14628953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24434 (or 24424 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 14628953280 in words is "fourteen billion, six hundred twenty-eight million, nine hundred fifty-three thousand, two hundred eighty".