848424997728 has 864 divisors, whose sum is σ = 3261577632768. Its totient is φ = 214374988800.

The previous prime is 848424997697. The next prime is 848424997729. The reversal of 848424997728 is 827799424848.

848424997728 is a `hidden beast` number, since 8 + 4 + 8 + 42 + 499 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848424997729) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155074033 + ... + 155079503.

It is an arithmetic number, because the mean of its divisors is an integer number (3774974112).

Almost surely, 2^848424997728 is an apocalyptic number.

848424997728 is a gapful number since it is divisible by the number (88) 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 848424997728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630788816384).

848424997728 is an abundant number, since it is smaller than the sum of its proper divisors (2413152635040).

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

848424997728 is a wasteful number, since it uses less digits than its factorization.

848424997728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5531 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 848424997728 in words is "eight hundred forty-eight billion, four hundred twenty-four million, nine hundred ninety-seven thousand, seven hundred twenty-eight".