1970028000 has 768 divisors, whose sum is σ = 8066822400. Its totient is φ = 464486400.

The previous prime is 1970027989. The next prime is 1970028013. The reversal of 1970028000 is 8200791.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 53243982 + ... + 53244018.

It is an arithmetic number, because the mean of its divisors is an integer number (10503675).

Almost surely, 2^1970028000 is an apocalyptic number.

1970028000 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 1970028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033411200).

1970028000 is an abundant number, since it is smaller than the sum of its proper divisors (6096794400).

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

1970028000 is a wasteful number, since it uses less digits than its factorization.

1970028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

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

The square root of 1970028000 is about 44384.9974653598. The cubic root of 1970028000 is about 1253.5956206262.

Adding to 1970028000 its reverse (8200791), we get a palindrome (1978228791).

The spelling of 1970028000 in words is "one billion, nine hundred seventy million, twenty-eight thousand".