428302080 has 360 divisors, whose sum is σ = 1629370512. Its totient is φ = 107495424.

The previous prime is 428302079. The next prime is 428302081. The reversal of 428302080 is 80203824.

428302080 is a `hidden beast` number, since 428 + 30 + 208 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (428302079) and next prime (428302081).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428302081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25194232 + ... + 25194248.

Almost surely, 2^428302080 is an apocalyptic number.

428302080 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 428302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814685256).

428302080 is an abundant number, since it is smaller than the sum of its proper divisors (1201068432).

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

428302080 is an frugal number, since it uses more digits than its factorization.

428302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 428302080 is about 20695.4603717820. The cubic root of 428302080 is about 753.7894610662.

The spelling of 428302080 in words is "four hundred twenty-eight million, three hundred two thousand, eighty".