428433408 has 224 divisors, whose sum is σ = 1376172000. Its totient is φ = 130940928.

The previous prime is 428433389. The next prime is 428433419. The reversal of 428433408 is 804334824.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2875318 + ... + 2875466.

It is an arithmetic number, because the mean of its divisors is an integer number (6143625).

Almost surely, 2^428433408 is an apocalyptic number.

428433408 is a gapful number since it is divisible by the number (48) 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 428433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688086000).

428433408 is an abundant number, since it is smaller than the sum of its proper divisors (947738592).

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

428433408 is a wasteful number, since it uses less digits than its factorization.

428433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 428433408 is about 20698.6329983407. The cubic root of 428433408 is about 753.8664966840.

The spelling of 428433408 in words is "four hundred twenty-eight million, four hundred thirty-three thousand, four hundred eight".