427249728 has 140 divisors (see below), whose sum is σ = 1284988540. Its totient is φ = 140341248.

The previous prime is 427249631. The next prime is 427249733. The reversal of 427249728 is 827942724.

It can be written as a sum of positive squares in 2 ways, for example, as 126157824 + 301091904 = 11232^2 + 17352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 377868 + ... + 378996.

Almost surely, 2^427249728 is an apocalyptic number.

427249728 is a gapful number since it is divisible by the number (48) 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 427249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642494270).

427249728 is an abundant number, since it is smaller than the sum of its proper divisors (857738812).

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

427249728 is a wasteful number, since it uses less digits than its factorization.

427249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1207 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 427249728 is about 20670.0200290179. The cubic root of 427249728 is about 753.1715930908.

The spelling of 427249728 in words is "four hundred twenty-seven million, two hundred forty-nine thousand, seven hundred twenty-eight".