428708448 has 216 divisors, whose sum is σ = 1502445672. Its totient is φ = 115218432.

The previous prime is 428708443. The next prime is 428708453. The reversal of 428708448 is 844807824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428708443) and next prime (428708453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428708443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239011 + ... + 240797.

It is an arithmetic number, because the mean of its divisors is an integer number (6955767).

Almost surely, 2^428708448 is an apocalyptic number.

428708448 is a gapful number since it is divisible by the number (48) 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 428708448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751222836).

428708448 is an abundant number, since it is smaller than the sum of its proper divisors (1073737224).

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

428708448 is a wasteful number, since it uses less digits than its factorization.

428708448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 428708448 is about 20705.2758494061. The cubic root of 428708448 is about 754.0277812493.

The spelling of 428708448 in words is "four hundred twenty-eight million, seven hundred eight thousand, four hundred forty-eight".