1028006532 has 96 divisors (see below), whose sum is σ = 3051417600. Its totient is φ = 293188896.

The previous prime is 1028006521. The next prime is 1028006549. The reversal of 1028006532 is 2356008201.

1028006532 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 0 + 0 + 653 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1028006496 and 1028006505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648613 + ... + 650195.

It is an arithmetic number, because the mean of its divisors is an integer number (31785600).

Almost surely, 2^1028006532 is an apocalyptic number.

1028006532 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 1028006532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525708800).

1028006532 is an abundant number, since it is smaller than the sum of its proper divisors (2023411068).

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

1028006532 is a wasteful number, since it uses less digits than its factorization.

1028006532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1028006532 is about 32062.5409473423. The cubic root of 1028006532 is about 1009.2496901084.

The spelling of 1028006532 in words is "one billion, twenty-eight million, six thousand, five hundred thirty-two".