35028720000 has 320 divisors, whose sum is σ = 129195831600. Its totient is φ = 9340416000.

The previous prime is 35028719983. The next prime is 35028720059. The reversal of 35028720000 is 2782053.

35028720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×35028720000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2151892 + ... + 2168108.

Almost surely, 2^35028720000 is an apocalyptic number.

35028720000 is a gapful number since it is divisible by the number (30) 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 35028720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64597915800).

35028720000 is an abundant number, since it is smaller than the sum of its proper divisors (94167111600).

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

35028720000 is an equidigital number, since it uses as much as digits as its factorization.

35028720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 35028720000 in words is "thirty-five billion, twenty-eight million, seven hundred twenty thousand".