1028047680 has 448 divisors, whose sum is σ = 4103827200. Its totient is φ = 239984640.

The previous prime is 1028047673. The next prime is 1028047703. The reversal of 1028047680 is 867408201.

1028047680 is a `hidden beast` number, since 102 + 8 + 0 + 476 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 2755974 + ... + 2756346.

Almost surely, 2^1028047680 is an apocalyptic number.

1028047680 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 1028047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051913600).

1028047680 is an abundant number, since it is smaller than the sum of its proper divisors (3075779520).

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

1028047680 is a wasteful number, since it uses less digits than its factorization.

1028047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1028047680 is about 32063.1826243123. The cubic root of 1028047680 is about 1009.2631556688.

The spelling of 1028047680 in words is "one billion, twenty-eight million, forty-seven thousand, six hundred eighty".