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28489824 = 25321117232
BaseRepresentation
bin110110010101…
…1100001100000
31222121102200200
41230223201200
524243133244
62454345200
7464105466
oct154534140
958542620
1028489824
1115099910
12965b200
135b967ac
143ad8836
15277b669
hex1b2b860

28489824 has 216 divisors, whose sum is σ = 97827912. Its totient is φ = 7772160.

The previous prime is 28489823. The next prime is 28489829. The reversal of 28489824 is 42898482.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28489824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28489823) 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 35 ways as a sum of consecutive naturals, for example, 1238677 + ... + 1238699.

It is an arithmetic number, because the mean of its divisors is an integer number (452907).

Almost surely, 228489824 is an apocalyptic number.

28489824 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 28489824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48913956).

28489824 is an abundant number, since it is smaller than the sum of its proper divisors (69338088).

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

28489824 is a wasteful number, since it uses less digits than its factorization.

28489824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 28489824 is about 5337.5859712046. The cubic root of 28489824 is about 305.4193782952.

The spelling of 28489824 in words is "twenty-eight million, four hundred eighty-nine thousand, eight hundred twenty-four".