854077728 has 96 divisors (see below), whose sum is σ = 2581213824. Its totient is φ = 242214912.

The previous prime is 854077727. The next prime is 854077729. The reversal of 854077728 is 827770458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (854077727) and next prime (854077729).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (854077723) 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 15 ways as a sum of consecutive naturals, for example, 87426 + ... + 96702.

It is an arithmetic number, because the mean of its divisors is an integer number (26887644).

Almost surely, 2^854077728 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 854077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290606912).

854077728 is an abundant number, since it is smaller than the sum of its proper divisors (1727136096).

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

854077728 is a wasteful number, since it uses less digits than its factorization.

854077728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 854077728 is about 29224.6082608476. The cubic root of 854077728 is about 948.7806064966.

It can be divided in two parts, 8540 and 77728, that added together give a palindrome (86268).

The spelling of 854077728 in words is "eight hundred fifty-four million, seventy-seven thousand, seven hundred twenty-eight".