1028674080 has 960 divisors, whose sum is σ = 4742115840. Its totient is φ = 204374016.

The previous prime is 1028674043. The next prime is 1028674091. The reversal of 1028674080 is 804768201.

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 (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35471506 + ... + 35471534.

It is an arithmetic number, because the mean of its divisors is an integer number (4939704).

Almost surely, 2^1028674080 is an apocalyptic number.

1028674080 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 1028674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371057920).

1028674080 is an abundant number, since it is smaller than the sum of its proper divisors (3713441760).

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

1028674080 is a wasteful number, since it uses less digits than its factorization.

1028674080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

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

The square root of 1028674080 is about 32072.9493498805. The cubic root of 1028674080 is about 1009.4680988486.

The spelling of 1028674080 in words is "one billion, twenty-eight million, six hundred seventy-four thousand, eighty".