7828028880 has 320 divisors, whose sum is σ = 29312409600. Its totient is φ = 1688186880.

The previous prime is 7828028843. The next prime is 7828028903. The reversal of 7828028880 is 888208287.

It is a super-2 number, since 2×7828028880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13757236 + ... + 13757804.

It is an arithmetic number, because the mean of its divisors is an integer number (91601280).

Almost surely, 2^7828028880 is an apocalyptic number.

7828028880 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 7828028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656204800).

7828028880 is an abundant number, since it is smaller than the sum of its proper divisors (21484380720).

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

7828028880 is a wasteful number, since it uses less digits than its factorization.

7828028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

The square root of 7828028880 is about 88476.1486503566. The cubic root of 7828028880 is about 1985.5651414055.

The spelling of 7828028880 in words is "seven billion, eight hundred twenty-eight million, twenty-eight thousand, eight hundred eighty".