1678828788 has 288 divisors, whose sum is σ = 5695038720. Its totient is φ = 423118080.

The previous prime is 1678828751. The next prime is 1678828807. The reversal of 1678828788 is 8878288761.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1581778 + ... + 1582838.

It is an arithmetic number, because the mean of its divisors is an integer number (19774440).

Almost surely, 2^1678828788 is an apocalyptic number.

1678828788 is a gapful number since it is divisible by the number (18) 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 1678828788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847519360).

1678828788 is an abundant number, since it is smaller than the sum of its proper divisors (4016209932).

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

1678828788 is a wasteful number, since it uses less digits than its factorization.

1678828788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 63.

The square root of 1678828788 is about 40973.5132494152. The cubic root of 1678828788 is about 1188.5080726517.

It can be divided in two parts, 1678828 and 788, that added together give a 8-th power (1679616 = 6⁸).

The spelling of 1678828788 in words is "one billion, six hundred seventy-eight million, eight hundred twenty-eight thousand, seven hundred eighty-eight".