35286048 has 144 divisors (see below), whose sum is σ = 119822976. Its totient is φ = 9630720.

The previous prime is 35286047. The next prime is 35286079. The reversal of 35286048 is 84068253.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (35286047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45988 + ... + 46748.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2^35286048 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 35286048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

35286048 is an abundant number, since it is smaller than the sum of its proper divisors (84536928).

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

35286048 is a wasteful number, since it uses less digits than its factorization.

35286048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 35286048 is about 5940.2060570320. The cubic root of 35286048 is about 327.9953400091.

The spelling of 35286048 in words is "thirty-five million, two hundred eighty-six thousand, forty-eight".