428742080 has 112 divisors (see below), whose sum is σ = 1147535424. Its totient is φ = 151388160.

The previous prime is 428742077. The next prime is 428742089. The reversal of 428742080 is 80247824.

It is a self number, because there is not a number n which added to its sum of digits gives 428742080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428742089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93440 + ... + 97920.

It is an arithmetic number, because the mean of its divisors is an integer number (10245852).

Almost surely, 2^428742080 is an apocalyptic number.

428742080 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 428742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573767712).

428742080 is an abundant number, since it is smaller than the sum of its proper divisors (718793344).

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

428742080 is a wasteful number, since it uses less digits than its factorization.

428742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 428742080 is about 20706.0879936312. The cubic root of 428742080 is about 754.0474984560.

The spelling of 428742080 in words is "four hundred twenty-eight million, seven hundred forty-two thousand, eighty".