428311872 has 252 divisors, whose sum is σ = 1362431616. Its totient is φ = 128471040.

The previous prime is 428311867. The next prime is 428311883. The reversal of 428311872 is 278113824.

It is a super-2 number, since 2×428311872² = 366902119392288768, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5160343 + ... + 5160425.

Almost surely, 2^428311872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681215808).

428311872 is an abundant number, since it is smaller than the sum of its proper divisors (934119744).

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

428311872 is a wasteful number, since it uses less digits than its factorization.

428311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 428311872 is about 20695.6969440510. The cubic root of 428311872 is about 753.7952054932.

The spelling of 428311872 in words is "four hundred twenty-eight million, three hundred eleven thousand, eight hundred seventy-two".