28300272 has 320 divisors, whose sum is σ = 106659840. Its totient is φ = 6220800.

The previous prime is 28300271. The next prime is 28300273. The reversal of 28300272 is 27200382.

It is an interprime number because it is at equal distance from previous prime (28300271) and next prime (28300273).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28300271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912897 + ... + 912927.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 2^28300272 is an apocalyptic number.

28300272 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 28300272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53329920).

28300272 is an abundant number, since it is smaller than the sum of its proper divisors (78359568).

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

28300272 is a wasteful number, since it uses less digits than its factorization.

28300272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 28300272 is about 5319.7999962405. The cubic root of 28300272 is about 304.7405192521.

The spelling of 28300272 in words is "twenty-eight million, three hundred thousand, two hundred seventy-two".