28881216 has 336 divisors, whose sum is σ = 110947200. Its totient is φ = 6967296.

The previous prime is 28881163. The next prime is 28881227. The reversal of 28881216 is 61218882.

It is a tau number, because it is divible by the number of its divisors (336).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995890 + ... + 995918.

It is an arithmetic number, because the mean of its divisors is an integer number (330200).

Almost surely, 2^28881216 is an apocalyptic number.

28881216 is a gapful number since it is divisible by the number (26) 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 28881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473600).

28881216 is an abundant number, since it is smaller than the sum of its proper divisors (82065984).

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

28881216 is a wasteful number, since it uses less digits than its factorization.

28881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 28881216 is about 5374.1246729119. The cubic root of 28881216 is about 306.8116348831.

It can be divided in two parts, 2888 and 1216, that multiplied together give a cube (3511808 = 152³).

The spelling of 28881216 in words is "twenty-eight million, eight hundred eighty-one thousand, two hundred sixteen".