7828815456 has 288 divisors, whose sum is σ = 28978508160. Its totient is φ = 2033337600.

The previous prime is 7828815413. The next prime is 7828815473. The reversal of 7828815456 is 6545188287.

7828815456 is a `hidden beast` number, since 78 + 28 + 8 + 1 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7828815456² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457291 + ... + 474101.

It is an arithmetic number, because the mean of its divisors is an integer number (100619820).

Almost surely, 2^7828815456 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 7828815456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14489254080).

7828815456 is an abundant number, since it is smaller than the sum of its proper divisors (21149692704).

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

7828815456 is a wasteful number, since it uses less digits than its factorization.

7828815456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855 (or 16834 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The square root of 7828815456 is about 88480.5936688944. The cubic root of 7828815456 is about 1985.6316436971.

The spelling of 7828815456 in words is "seven billion, eight hundred twenty-eight million, eight hundred fifteen thousand, four hundred fifty-six".