254233728 has 320 divisors, whose sum is σ = 900472320. Its totient is φ = 69672960.

The previous prime is 254233723. The next prime is 254233729. The reversal of 254233728 is 827332452.

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 = 254233692 and 254233701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254233723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249800 + ... + 2249912.

It is an arithmetic number, because the mean of its divisors is an integer number (2813976).

Almost surely, 2^254233728 is an apocalyptic number.

254233728 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 254233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450236160).

254233728 is an abundant number, since it is smaller than the sum of its proper divisors (646238592).

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

254233728 is a wasteful number, since it uses less digits than its factorization.

254233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 254233728 is about 15944.7084639387. The cubic root of 254233728 is about 633.4967462597.

The spelling of 254233728 in words is "two hundred fifty-four million, two hundred thirty-three thousand, seven hundred twenty-eight".