4828422144 has 448 divisors, whose sum is σ = 16910401536. Its totient is φ = 1189085184.

The previous prime is 4828422119. The next prime is 4828422167. The reversal of 4828422144 is 4412248284.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38019009 + ... + 38019135.

It is an arithmetic number, because the mean of its divisors is an integer number (37746432).

Almost surely, 2^4828422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4828422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455200768).

4828422144 is an abundant number, since it is smaller than the sum of its proper divisors (12081979392).

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

4828422144 is a wasteful number, since it uses less digits than its factorization.

4828422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its digits is 131072, while the sum is 39.

The square root of 4828422144 is about 69486.8487125442. The cubic root of 4828422144 is about 1690.1882478819.

The spelling of 4828422144 in words is "four billion, eight hundred twenty-eight million, four hundred twenty-two thousand, one hundred forty-four".