1028551680 has 528 divisors, whose sum is σ = 4104054864. Its totient is φ = 235929600.

The previous prime is 1028551673. The next prime is 1028551703. The reversal of 1028551680 is 861558201.

1028551680 is a `hidden beast` number, since 1 + 0 + 28 + 551 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31002624 + 997549056 = 5568^2 + 31584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 10183630 + ... + 10183730.

Almost surely, 2^1028551680 is an apocalyptic number.

1028551680 is a gapful number since it is divisible by the number (10) 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 1028551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052027432).

1028551680 is an abundant number, since it is smaller than the sum of its proper divisors (3075503184).

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

1028551680 is a wasteful number, since it uses less digits than its factorization.

1028551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1028551680 is about 32071.0411430624. The cubic root of 1028551680 is about 1009.4280590217.

The spelling of 1028551680 in words is "one billion, twenty-eight million, five hundred fifty-one thousand, six hundred eighty".