28461312 has 108 divisors (see below), whose sum is σ = 89600784. Its totient is φ = 8616960.

The previous prime is 28461289. The next prime is 28461337. The reversal of 28461312 is 21316482.

It is a super-2 number, since 2×28461312² = 1620092561522688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24783 + ... + 25905.

Almost surely, 2^28461312 is an apocalyptic number.

28461312 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 28461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44800392).

28461312 is an abundant number, since it is smaller than the sum of its proper divisors (61139472).

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

28461312 is a wasteful number, since it uses less digits than its factorization.

28461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1139 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 28461312 is about 5334.9144323035. The cubic root of 28461312 is about 305.3174585841.

Adding to 28461312 its reverse (21316482), we get a palindrome (49777794).

The spelling of 28461312 in words is "twenty-eight million, four hundred sixty-one thousand, three hundred twelve".