36428292 has 60 divisors (see below), whose sum is σ = 98539980. Its totient is φ = 11721024.

The previous prime is 36428291. The next prime is 36428303. The reversal of 36428292 is 29282463.

36428292 is a `hidden beast` number, since 3 + 642 + 8 + 2 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 22410756 = 3744^2 + 4734^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36428291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7458 + ... + 11334.

It is an arithmetic number, because the mean of its divisors is an integer number (1642333).

Almost surely, 2^36428292 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 36428292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49269990).

36428292 is an abundant number, since it is smaller than the sum of its proper divisors (62111688).

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

36428292 is a wasteful number, since it uses less digits than its factorization.

36428292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3911 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 36428292 is about 6035.5854728435. The cubic root of 36428292 is about 331.4970004438.

The spelling of 36428292 in words is "thirty-six million, four hundred twenty-eight thousand, two hundred ninety-two".