788828544 has 192 divisors, whose sum is σ = 2691037440. Its totient is φ = 225317376.

The previous prime is 788828501. The next prime is 788828549. The reversal of 788828544 is 445828887.

788828544 is a `hidden beast` number, since 78 + 8 + 8 + 28 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (788828549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215917 + ... + 219539.

It is an arithmetic number, because the mean of its divisors is an integer number (14015820).

Almost surely, 2^788828544 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 788828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345518720).

788828544 is an abundant number, since it is smaller than the sum of its proper divisors (1902208896).

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

788828544 is an equidigital number, since it uses as much as digits as its factorization.

788828544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3635 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 54.

The square root of 788828544 is about 28086.0916469344. The cubic root of 788828544 is about 923.9763866457.

The spelling of 788828544 in words is "seven hundred eighty-eight million, eight hundred twenty-eight thousand, five hundred forty-four".