367828032 has 112 divisors (see below), whose sum is σ = 1143438912. Its totient is φ = 102881280.

The previous prime is 367828001. The next prime is 367828033. The reversal of 367828032 is 230828763.

It is a happy number.

It is a super-2 number, since 2×367828032² = 270594922249986048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (367828033) 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, 20758 + ... + 34154.

It is an arithmetic number, because the mean of its divisors is an integer number (10209276).

Almost surely, 2^367828032 is an apocalyptic number.

367828032 is a gapful number since it is divisible by the number (32) 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 367828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571719456).

367828032 is an abundant number, since it is smaller than the sum of its proper divisors (775610880).

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

367828032 is a wasteful number, since it uses less digits than its factorization.

367828032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13436 (or 13426 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 367828032 is about 19178.8433436430. The cubic root of 367828032 is about 716.4979318878.

The spelling of 367828032 in words is "three hundred sixty-seven million, eight hundred twenty-eight thousand, thirty-two".