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28413728 = 257218121
BaseRepresentation
bin110110001100…
…0111100100000
31222110120022022
41230120330200
524233214403
62453001012
7463340600
oct154307440
958416268
1028413728
1115047722
129623168
135b6ac75
143ab8c00
152763d38
hex1b18f20

28413728 has 36 divisors (see below), whose sum is σ = 65076102. Its totient is φ = 12176640.

The previous prime is 28413719. The next prime is 28413757. The reversal of 28413728 is 82731482.

It can be written as a sum of positive squares in only one way, i.e., 25684624 + 2729104 = 5068^2 + 1652^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7493 + ... + 10628.

Almost surely, 228413728 is an apocalyptic number.

28413728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28413728 is an abundant number, since it is smaller than the sum of its proper divisors (36662374).

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

28413728 is a wasteful number, since it uses less digits than its factorization.

28413728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18145 (or 18130 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 28413728 is about 5330.4528888266. The cubic root of 28413728 is about 305.1472119234.

The spelling of 28413728 in words is "twenty-eight million, four hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 18121 36242 72484 126847 144968 253694 289936 507388 579872 887929 1014776 1775858 2029552 3551716 4059104 7103432 14206864 28413728