1965028000 has 384 divisors, whose sum is σ = 5706215424. Its totient is φ = 658944000.

The previous prime is 1965027991. The next prime is 1965028003. The reversal of 1965028000 is 8205691.

It is a super-2 number, since 2×1965028000² = 7722670081568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965028003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37075974 + ... + 37076026.

It is an arithmetic number, because the mean of its divisors is an integer number (14859936).

Almost surely, 2^1965028000 is an apocalyptic number.

1965028000 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 1965028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853107712).

1965028000 is an abundant number, since it is smaller than the sum of its proper divisors (3741187424).

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

1965028000 is a wasteful number, since it uses less digits than its factorization.

1965028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1965028000 is about 44328.6363426623. The cubic root of 1965028000 is about 1252.5341655986.

The spelling of 1965028000 in words is "one billion, nine hundred sixty-five million, twenty-eight thousand".