36428742 has 48 divisors (see below), whose sum is σ = 90934272. Its totient is φ = 10324080.

The previous prime is 36428737. The next prime is 36428753. The reversal of 36428742 is 24782463.

36428742 is a `hidden beast` number, since 3 + 642 + 8 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36428697 and 36428706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15403 + ... + 17609.

It is an arithmetic number, because the mean of its divisors is an integer number (1894464).

Almost surely, 2^36428742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36428742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45467136).

36428742 is an abundant number, since it is smaller than the sum of its proper divisors (54505530).

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

36428742 is a wasteful number, since it uses less digits than its factorization.

36428742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2350 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 36428742 is about 6035.6227516305. The cubic root of 36428742 is about 331.4983654363.

The spelling of 36428742 in words is "thirty-six million, four hundred twenty-eight thousand, seven hundred forty-two".