428835078144 has 672 divisors, whose sum is σ = 1485789540480. Its totient is φ = 122305904640.

The previous prime is 428835078143. The next prime is 428835078151. The reversal of 428835078144 is 441870538824.

428835078144 is a `hidden beast` number, since 4 + 2 + 88 + 350 + 78 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428835078143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25225592824 + ... + 25225592840.

It is an arithmetic number, because the mean of its divisors is an integer number (2210996340).

Almost surely, 2^428835078144 is an apocalyptic number.

428835078144 is a gapful number since it is divisible by the number (44) 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 428835078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742894770240).

428835078144 is an abundant number, since it is smaller than the sum of its proper divisors (1056954462336).

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

428835078144 is an frugal number, since it uses more digits than its factorization.

428835078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 428835078144 in words is "four hundred twenty-eight billion, eight hundred thirty-five million, seventy-eight thousand, one hundred forty-four".