440136828 has 120 divisors (see below), whose sum is σ = 1202401200. Its totient is φ = 140216832.

The previous prime is 440136787. The next prime is 440136847. The reversal of 440136828 is 828631044.

440136828 is a `hidden beast` number, since 440 + 136 + 82 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 440136792 and 440136801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1305876 + ... + 1306212.

It is an arithmetic number, because the mean of its divisors is an integer number (10020010).

Almost surely, 2^440136828 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 440136828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601200600).

440136828 is an abundant number, since it is smaller than the sum of its proper divisors (762264372).

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

440136828 is a wasteful number, since it uses less digits than its factorization.

440136828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 440136828 is about 20979.4382193614. The cubic root of 440136828 is about 760.6693249478.

The spelling of 440136828 in words is "four hundred forty million, one hundred thirty-six thousand, eight hundred twenty-eight".