428958720 has 352 divisors, whose sum is σ = 1591747200. Its totient is φ = 109412352.

The previous prime is 428958683. The next prime is 428958721. The reversal of 428958720 is 27859824.

428958720 is a `hidden beast` number, since 42 + 8 + 9 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (428958721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008907 + ... + 4009013.

Almost surely, 2^428958720 is an apocalyptic number.

428958720 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 428958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795873600).

428958720 is an abundant number, since it is smaller than the sum of its proper divisors (1162788480).

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

428958720 is a wasteful number, since it uses less digits than its factorization.

428958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 428958720 is about 20711.3186446445. The cubic root of 428958720 is about 754.1744818267.

It can be divided in two parts, 42895 and 8720, that added together give a palindrome (51615).

The spelling of 428958720 in words is "four hundred twenty-eight million, nine hundred fifty-eight thousand, seven hundred twenty".