28968192 has 180 divisors, whose sum is σ = 94972416. Its totient is φ = 8709120.

The previous prime is 28968169. The next prime is 28968193. The reversal of 28968192 is 29186982.

It is a super-2 number, since 2×28968192² = 1678312295497728, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28968193) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228033 + ... + 228159.

Almost surely, 2^28968192 is an apocalyptic number.

28968192 is a gapful number since it is divisible by the number (22) 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 28968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47486208).

28968192 is an abundant number, since it is smaller than the sum of its proper divisors (66004224).

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

28968192 is a wasteful number, since it uses less digits than its factorization.

28968192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 28968192 is about 5382.2106982169. The cubic root of 28968192 is about 307.1193147476.

The spelling of 28968192 in words is "twenty-eight million, nine hundred sixty-eight thousand, one hundred ninety-two".