28536192 has 128 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 9073152.

The previous prime is 28536187. The next prime is 28536197. The reversal of 28536192 is 29163582.

It is an interprime number because it is at equal distance from previous prime (28536187) and next prime (28536197).

It is a tau number, because it is divible by the number of its divisors (128).

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

Its product of digits (25920) is a multiple of the sum of its prime factors (405).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28536197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79309 + ... + 79667.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^28536192 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 28536192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

28536192 is an abundant number, since it is smaller than the sum of its proper divisors (59591808).

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

28536192 is a wasteful number, since it uses less digits than its factorization.

28536192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 28536192 is about 5341.9277419299. The cubic root of 28536192 is about 305.5849813987.

It can be divided in two parts, 2853 and 6192, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 28536192 in words is "twenty-eight million, five hundred thirty-six thousand, one hundred ninety-two".