28846272 has 168 divisors, whose sum is σ = 95195136. Its totient is φ = 7547904.

The previous prime is 28846267. The next prime is 28846277. The reversal of 28846272 is 27264882.

It is an interprime number because it is at equal distance from previous prime (28846267) and next prime (28846277).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28846272.

It is not an unprimeable number, because it can be changed into a prime (28846277) 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, 227073 + ... + 227199.

Almost surely, 2^28846272 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 28846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47597568).

28846272 is an abundant number, since it is smaller than the sum of its proper divisors (66348864).

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

28846272 is a wasteful number, since it uses less digits than its factorization.

28846272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 28846272 is about 5370.8725548089. The cubic root of 28846272 is about 306.6878456283.

The spelling of 28846272 in words is "twenty-eight million, eight hundred forty-six thousand, two hundred seventy-two".