1028505600 has 450 divisors, whose sum is σ = 3933088544. Its totient is φ = 265420800.

The previous prime is 1028505557. The next prime is 1028505601. The reversal of 1028505600 is 65058201.

1028505600 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 50 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028505601) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 33177585 + ... + 33177615.

Almost surely, 2^1028505600 is an apocalyptic number.

1028505600 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 1028505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966544272).

1028505600 is an abundant number, since it is smaller than the sum of its proper divisors (2904582944).

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

1028505600 is an frugal number, since it uses more digits than its factorization.

1028505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1028505600 is about 32070.3227299009. The cubic root of 1028505600 is about 1009.4129843815.

The spelling of 1028505600 in words is "one billion, twenty-eight million, five hundred five thousand, six hundred".