428094720 has 180 divisors, whose sum is σ = 1532172180. Its totient is φ = 114130944.

The previous prime is 428094701. The next prime is 428094739. The reversal of 428094720 is 27490824.

It is an interprime number because it is at equal distance from previous prime (428094701) and next prime (428094739).

It can be written as a sum of positive squares in 2 ways, for example, as 195105024 + 232989696 = 13968^2 + 15264^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 19 ways as a sum of consecutive naturals, for example, 101616 + ... + 105744.

Almost surely, 2^428094720 is an apocalyptic number.

428094720 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 428094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766086090).

428094720 is an abundant number, since it is smaller than the sum of its proper divisors (1104077460).

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

428094720 is an equidigital number, since it uses as much as digits as its factorization.

428094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 428094720 is about 20690.4499709407. The cubic root of 428094720 is about 753.6677938118.

The spelling of 428094720 in words is "four hundred twenty-eight million, ninety-four thousand, seven hundred twenty".