7828887360 has 224 divisors, whose sum is σ = 28769218560. Its totient is φ = 1766688768.

The previous prime is 7828887317. The next prime is 7828887373. The reversal of 7828887360 is 637888287.

It is a Cunningham number, because it is equal to 88481²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×7828887360² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7828887360.

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, 523507 + ... + 538253.

Almost surely, 2^7828887360 is an apocalyptic number.

7828887360 is a gapful number since it is divisible by the number (70) 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 7828887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384609280).

7828887360 is an abundant number, since it is smaller than the sum of its proper divisors (20940331200).

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

7828887360 is a wasteful number, since it uses less digits than its factorization.

7828887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14853 (or 14843 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The square root of 7828887360 is about 88480.9999943491. Note that the first 5 decimals coincide. The cubic root of 7828887360 is about 1985.6377227104.

The spelling of 7828887360 in words is "seven billion, eight hundred twenty-eight million, eight hundred eighty-seven thousand, three hundred sixty".