28746144 has 192 divisors, whose sum is σ = 98784000. Its totient is φ = 8128512.

The previous prime is 28746143. The next prime is 28746161. The reversal of 28746144 is 44164782.

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 = 28746099 and 28746108.

It is not an unprimeable number, because it can be changed into a prime (28746143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296304 + ... + 296400.

It is an arithmetic number, because the mean of its divisors is an integer number (514500).

Almost surely, 2^28746144 is an apocalyptic number.

28746144 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 28746144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392000).

28746144 is an abundant number, since it is smaller than the sum of its proper divisors (70037856).

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

28746144 is an equidigital number, since it uses as much as digits as its factorization.

28746144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 28746144 is about 5361.5430614703. The cubic root of 28746144 is about 306.3325872503.

The spelling of 28746144 in words is "twenty-eight million, seven hundred forty-six thousand, one hundred forty-four".