35028000 has 288 divisors, whose sum is σ = 143095680. Its totient is φ = 7948800.

The previous prime is 35027999. The next prime is 35028013. The reversal of 35028000 is 82053.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251931 + ... + 252069.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 2^35028000 is an apocalyptic number.

35028000 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 35028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

35028000 is an abundant number, since it is smaller than the sum of its proper divisors (108067680).

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

35028000 is a wasteful number, since it uses less digits than its factorization.

35028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 35028000 is about 5918.4457419157. The cubic root of 35028000 is about 327.1938362032.

The spelling of 35028000 in words is "thirty-five million, twenty-eight thousand".