85349628 has 72 divisors (see below), whose sum is σ = 265542368. Its totient is φ = 22508928.

The previous prime is 85349623. The next prime is 85349633. The reversal of 85349628 is 82694358.

85349628 is a `hidden beast` number, since 8 + 534 + 96 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (85349623) and next prime (85349633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85349623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9751 + ... + 16302.

Almost surely, 2^85349628 is an apocalyptic number.

It is an amenable number.

85349628 is an abundant number, since it is smaller than the sum of its proper divisors (180192740).

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

85349628 is a wasteful number, since it uses less digits than its factorization.

85349628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26083 (or 26078 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85349628 is about 9238.4862396390. The cubic root of 85349628 is about 440.2849875503.

The spelling of 85349628 in words is "eighty-five million, three hundred forty-nine thousand, six hundred twenty-eight".