428854272 has 352 divisors, whose sum is σ = 1493491200. Its totient is φ = 108380160.

The previous prime is 428854267. The next prime is 428854313. The reversal of 428854272 is 272458824.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×428854272² = 367831973225299968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11590638 + ... + 11590674.

Almost surely, 2^428854272 is an apocalyptic number.

428854272 is a gapful number since it is divisible by the number (42) 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 428854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746745600).

428854272 is an abundant number, since it is smaller than the sum of its proper divisors (1064636928).

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

428854272 is a wasteful number, since it uses less digits than its factorization.

428854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 428854272 is about 20708.7969713356. The cubic root of 428854272 is about 754.1132650500.

The spelling of 428854272 in words is "four hundred twenty-eight million, eight hundred fifty-four thousand, two hundred seventy-two".