14270300928 has 576 divisors, whose sum is σ = 48349593600. Its totient is φ = 4120657920.

The previous prime is 14270300921. The next prime is 14270300929. The reversal of 14270300928 is 82900307241.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×14270300928² (a number of 21 digits) contains 22 as substring.

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 = 14270300892 and 14270300901.

It is not an unprimeable number, because it can be changed into a prime (14270300921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130920138 + ... + 130920246.

Almost surely, 2^14270300928 is an apocalyptic number.

14270300928 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 14270300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24174796800).

14270300928 is an abundant number, since it is smaller than the sum of its proper divisors (34079292672).

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

14270300928 is a wasteful number, since it uses less digits than its factorization.

14270300928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14270300928 in words is "fourteen billion, two hundred seventy million, three hundred thousand, nine hundred twenty-eight".