85428000 has 384 divisors, whose sum is σ = 358525440. Its totient is φ = 19353600.

The previous prime is 85427977. The next prime is 85428001. The reversal of 85428000 is 82458.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85428001) 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 63 ways as a sum of consecutive naturals, for example, 755944 + ... + 756056.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^85428000 is an apocalyptic number.

85428000 is a gapful number since it is divisible by the number (80) 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 85428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

85428000 is an abundant number, since it is smaller than the sum of its proper divisors (273097440).

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

85428000 is a wasteful number, since it uses less digits than its factorization.

85428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85428000 is about 9242.7268703560. The cubic root of 85428000 is about 440.4197097104.

The spelling of 85428000 in words is "eighty-five million, four hundred twenty-eight thousand".