428812272 has 80 divisors (see below), whose sum is σ = 1406695680. Its totient is φ = 122516928.

The previous prime is 428812271. The next prime is 428812283. The reversal of 428812272 is 272218824.

428812272 is a `hidden beast` number, since 428 + 8 + 1 + 227 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428812271) 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, 67878 + ... + 73925.

It is an arithmetic number, because the mean of its divisors is an integer number (17583696).

Almost surely, 2^428812272 is an apocalyptic number.

428812272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

428812272 is an abundant number, since it is smaller than the sum of its proper divisors (977883408).

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

428812272 is a wasteful number, since it uses less digits than its factorization.

428812272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141827 (or 141815 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 428812272 is about 20707.7828847030. The cubic root of 428812272 is about 754.0886461268.

The spelling of 428812272 in words is "four hundred twenty-eight million, eight hundred twelve thousand, two hundred seventy-two".