28585620 has 144 divisors (see below), whose sum is σ = 101337600. Its totient is φ = 6519744.

The previous prime is 28585607. The next prime is 28585621. The reversal of 28585620 is 2658582.

28585620 is a `hidden beast` number, since 28 + 5 + 8 + 5 + 620 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28585621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61509 + ... + 61971.

Almost surely, 2^28585620 is an apocalyptic number.

28585620 is a gapful number since it is divisible by the number (20) 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 28585620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50668800).

28585620 is an abundant number, since it is smaller than the sum of its proper divisors (72751980).

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

28585620 is a wasteful number, since it uses less digits than its factorization.

28585620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 28585620 is about 5346.5521600373. The cubic root of 28585620 is about 305.7613158580.

It can be divided in two parts, 285 and 85620, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 28585620 in words is "twenty-eight million, five hundred eighty-five thousand, six hundred twenty".