427728080 has 80 divisors (see below), whose sum is σ = 1105595904. Its totient is φ = 152824320.

The previous prime is 427728071. The next prime is 427728089. The reversal of 427728080 is 80827724.

It is an interprime number because it is at equal distance from previous prime (427728071) and next prime (427728089).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427728089) 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, 25607 + ... + 38873.

Almost surely, 2^427728080 is an apocalyptic number.

427728080 is a gapful number since it is divisible by the number (40) 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 427728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552797952).

427728080 is an abundant number, since it is smaller than the sum of its proper divisors (677867824).

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

427728080 is a wasteful number, since it uses less digits than its factorization.

427728080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13324 (or 13318 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 427728080 is about 20681.5879467704. The cubic root of 427728080 is about 753.4525737758.

The spelling of 427728080 in words is "four hundred twenty-seven million, seven hundred twenty-eight thousand, eighty".