428341248 has 144 divisors (see below), whose sum is σ = 1310858640. Its totient is φ = 134283264.

The previous prime is 428341241. The next prime is 428341271. The reversal of 428341248 is 842143824.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428341241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312661 + ... + 314027.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2^428341248 is an apocalyptic number.

428341248 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 428341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655429320).

428341248 is an abundant number, since it is smaller than the sum of its proper divisors (882517392).

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

428341248 is a wasteful number, since it uses less digits than its factorization.

428341248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1389 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 428341248 is about 20696.4066446328. The cubic root of 428341248 is about 753.8124382490.

The spelling of 428341248 in words is "four hundred twenty-eight million, three hundred forty-one thousand, two hundred forty-eight".