89785728 has 96 divisors (see below), whose sum is σ = 262945800. Its totient is φ = 29399040.

The previous prime is 89785727. The next prime is 89785739. The reversal of 89785728 is 82758798.

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

It is a super-2 number, since 2×89785728² = 16122953904979968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89785727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67308 + ... + 68628.

Almost surely, 2^89785728 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 89785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131472900).

89785728 is an abundant number, since it is smaller than the sum of its proper divisors (173160072).

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

89785728 is a wasteful number, since it uses less digits than its factorization.

89785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1385 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 89785728 is about 9475.5331248432. The cubic root of 89785728 is about 447.7845477618.

It can be divided in two parts, 8978 and 5728, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 89785728 in words is "eighty-nine million, seven hundred eighty-five thousand, seven hundred twenty-eight".