428948352 has 384 divisors, whose sum is σ = 1569780000. Its totient is φ = 114573312.

The previous prime is 428948347. The next prime is 428948353. The reversal of 428948352 is 253849824.

428948352 is a `hidden beast` number, since 42 + 89 + 483 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 428948298 and 428948307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428948353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2878774 + ... + 2878922.

Almost surely, 2^428948352 is an apocalyptic number.

428948352 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 428948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784890000).

428948352 is an abundant number, since it is smaller than the sum of its proper divisors (1140831648).

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

428948352 is a wasteful number, since it uses less digits than its factorization.

428948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 428948352 is about 20711.0683452110. The cubic root of 428948352 is about 754.1684056056.

The spelling of 428948352 in words is "four hundred twenty-eight million, nine hundred forty-eight thousand, three hundred fifty-two".