428025960 has 96 divisors (see below), whose sum is σ = 1400129640. Its totient is φ = 113398272.

The previous prime is 428025931. The next prime is 428025967. The reversal of 428025960 is 69520824.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 411035076 + 16990884 = 20274^2 + 4122^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428025967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52734 + ... + 60306.

Almost surely, 2^428025960 is an apocalyptic number.

428025960 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 428025960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700064820).

428025960 is an abundant number, since it is smaller than the sum of its proper divisors (972103680).

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

428025960 is a wasteful number, since it uses less digits than its factorization.

428025960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 428025960 is about 20688.7882680451. The cubic root of 428025960 is about 753.6274406144.

The spelling of 428025960 in words is "four hundred twenty-eight million, twenty-five thousand, nine hundred sixty".