35628000 has 96 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 9497600.

The previous prime is 35627957. The next prime is 35628007. The reversal of 35628000 is 82653.

35628000 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35628007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10516 + ... + 13484.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 2^35628000 is an apocalyptic number.

35628000 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 35628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

35628000 is an abundant number, since it is smaller than the sum of its proper divisors (81128640).

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

35628000 is a wasteful number, since it uses less digits than its factorization.

35628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 35628000 is about 5968.9195002111. The cubic root of 35628000 is about 329.0514542756.

The spelling of 35628000 in words is "thirty-five million, six hundred twenty-eight thousand".