36278928 has 240 divisors, whose sum is σ = 127102976. Its totient is φ = 9797760.

The previous prime is 36278927. The next prime is 36278951. The reversal of 36278928 is 82987263.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (36278927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843675 + ... + 843717.

Almost surely, 2^36278928 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 36278928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63551488).

36278928 is an abundant number, since it is smaller than the sum of its proper divisors (90824048).

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

36278928 is a wasteful number, since it uses less digits than its factorization.

36278928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 36278928 is about 6023.1991499535. The cubic root of 36278928 is about 331.0433096245.

The spelling of 36278928 in words is "thirty-six million, two hundred seventy-eight thousand, nine hundred twenty-eight".