1028264832 has 192 divisors, whose sum is σ = 3499048800. Its totient is φ = 283594752.

The previous prime is 1028264779. The next prime is 1028264833. The reversal of 1028264832 is 2384628201.

1028264832 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 2 + 648 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028264833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231658 + ... + 236054.

Almost surely, 2^1028264832 is an apocalyptic number.

1028264832 is a gapful number since it is divisible by the number (12) 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 1028264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749524400).

1028264832 is an abundant number, since it is smaller than the sum of its proper divisors (2470783968).

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

1028264832 is a wasteful number, since it uses less digits than its factorization.

1028264832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1028264832 is about 32066.5687593793. The cubic root of 1028264832 is about 1009.3342120629.

The spelling of 1028264832 in words is "one billion, twenty-eight million, two hundred sixty-four thousand, eight hundred thirty-two".