1687428288 has 560 divisors, whose sum is σ = 6368084800. Its totient is φ = 438939648.

The previous prime is 1687428271. The next prime is 1687428293. The reversal of 1687428288 is 8828247861.

It is a super-2 number, since 2×1687428288² = 5694828454285221888, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23115420 + ... + 23115492.

It is an arithmetic number, because the mean of its divisors is an integer number (11371580).

Almost surely, 2^1687428288 is an apocalyptic number.

1687428288 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 1687428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184042400).

1687428288 is an abundant number, since it is smaller than the sum of its proper divisors (4680656512).

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

1687428288 is an equidigital number, since it uses as much as digits as its factorization.

1687428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 1687428288 is about 41078.3189529465. The cubic root of 1687428288 is about 1190.5339241885.

The spelling of 1687428288 in words is "one billion, six hundred eighty-seven million, four hundred twenty-eight thousand, two hundred eighty-eight".