35828922240 has 256 divisors, whose sum is σ = 128325384000. Its totient is φ = 9446621184.

The previous prime is 35828922179. The next prime is 35828922263. The reversal of 35828922240 is 4222982853.

35828922240 is a `hidden beast` number, since 3 + 582 + 8 + 9 + 2 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526272 + ... + 1549568.

Almost surely, 2^35828922240 is an apocalyptic number.

35828922240 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 35828922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162692000).

35828922240 is an abundant number, since it is smaller than the sum of its proper divisors (92496461760).

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

35828922240 is a wasteful number, since it uses less digits than its factorization.

35828922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23414 (or 23396 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 35828922240 in words is "thirty-five billion, eight hundred twenty-eight million, nine hundred twenty-two thousand, two hundred forty".