971028000 has 432 divisors, whose sum is σ = 3675259224. Its totient is φ = 251942400.

The previous prime is 971027987. The next prime is 971028029. The reversal of 971028000 is 820179.

It can be written as a sum of positive squares in 4 ways, for example, as 499790736 + 471237264 = 22356^2 + 21708^2 .

It is a tau number, because it is divible by the number of its divisors (432).

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

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 71 ways as a sum of consecutive naturals, for example, 26243982 + ... + 26244018.

Almost surely, 2^971028000 is an apocalyptic number.

971028000 is a gapful number since it is divisible by the number (90) 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 971028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837629612).

971028000 is an abundant number, since it is smaller than the sum of its proper divisors (2704231224).

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

971028000 is an frugal number, since it uses more digits than its factorization.

971028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 971028000 is about 31161.3221799076. The cubic root of 971028000 is about 990.2478718181.

Adding to 971028000 its reverse (820179), we get a palindrome (971848179).

The spelling of 971028000 in words is "nine hundred seventy-one million, twenty-eight thousand".