28926144 has 84 divisors (see below), whose sum is σ = 89312496. Its totient is φ = 8898048.

The previous prime is 28926077. The next prime is 28926173. The reversal of 28926144 is 44162982.

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 junction number, because it is equal to n+sod(n) for n = 28926099 and 28926108.

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, 5557 + ... + 9419.

It is an arithmetic number, because the mean of its divisors is an integer number (1063244).

Almost surely, 2^28926144 is an apocalyptic number.

28926144 is a gapful number since it is divisible by the number (24) 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 28926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44656248).

28926144 is an abundant number, since it is smaller than the sum of its proper divisors (60386352).

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

28926144 is a wasteful number, since it uses less digits than its factorization.

28926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3881 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28926144 is about 5378.3030781093. The cubic root of 28926144 is about 306.9706458651.

The spelling of 28926144 in words is "twenty-eight million, nine hundred twenty-six thousand, one hundred forty-four".