35728000000 has 616 divisors, whose sum is σ = 115142276160. Its totient is φ = 10752000000.

The previous prime is 35727999959. The next prime is 35728000013. The reversal of 35728000000 is 82753.

It is a tau number, because it is divible by the number of its divisors (616).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1231999986 + ... + 1232000014.

Almost surely, 2^35728000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57571138080).

35728000000 is an abundant number, since it is smaller than the sum of its proper divisors (79414276160).

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

35728000000 is an frugal number, since it uses more digits than its factorization.

35728000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 35728000000 its reverse (82753), we get a palindrome (35728082753).

The spelling of 35728000000 in words is "thirty-five billion, seven hundred twenty-eight million", and thus it is an aban number.