254065728 has 112 divisors (see below), whose sum is σ = 801745920. Its totient is φ = 69425664.

The previous prime is 254065727. The next prime is 254065753. The reversal of 254065728 is 827560452.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (254065727) 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, 26803 + ... + 35021.

Almost surely, 2^254065728 is an apocalyptic number.

254065728 is a gapful number since it is divisible by the number (28) 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 254065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400872960).

254065728 is an abundant number, since it is smaller than the sum of its proper divisors (547680192).

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

254065728 is a wasteful number, since it uses less digits than its factorization.

254065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 254065728 is about 15939.4393878831. The cubic root of 254065728 is about 633.3571753413.

The spelling of 254065728 in words is "two hundred fifty-four million, sixty-five thousand, seven hundred twenty-eight".