428886240 has 384 divisors, whose sum is σ = 1544417280. Its totient is φ = 99532800.

The previous prime is 428886223. The next prime is 428886247. The reversal of 428886240 is 42688824.

It is a super-2 number, since 2×428886240² = 367886813722675200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 428886192 and 428886201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428886247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10460620 + ... + 10460660.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^428886240 is an apocalyptic number.

428886240 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 428886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

428886240 is an abundant number, since it is smaller than the sum of its proper divisors (1115531040).

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

428886240 is a wasteful number, since it uses less digits than its factorization.

428886240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 428886240 is about 20709.5688028505. The cubic root of 428886240 is about 754.1320024902.

The spelling of 428886240 in words is "four hundred twenty-eight million, eight hundred eighty-six thousand, two hundred forty".