1028412000 has 864 divisors, whose sum is σ = 4719091104. Its totient is φ = 209664000.

The previous prime is 1028411987. The next prime is 1028412071. The reversal of 1028412000 is 2148201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 19403974 + ... + 19404026.

It is an arithmetic number, because the mean of its divisors is an integer number (5461911).

Almost surely, 2^1028412000 is an apocalyptic number.

1028412000 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 1028412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359545552).

1028412000 is an abundant number, since it is smaller than the sum of its proper divisors (3690679104).

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

1028412000 is a wasteful number, since it uses less digits than its factorization.

1028412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1028412000 is about 32068.8634036194. The cubic root of 1028412000 is about 1009.3823626323.

The spelling of 1028412000 in words is "one billion, twenty-eight million, four hundred twelve thousand".