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28038048 = 253793697
BaseRepresentation
bin110101011110…
…1001110100000
31221202110222020
41222331032200
524134204143
62440541440
7460214403
oct152751640
957673866
1028038048
1114910445
129481880
135a68c7c
143a1bd3a
1526dc883
hex1abd3a0

28038048 has 48 divisors (see below), whose sum is σ = 74551680. Its totient is φ = 9225216.

The previous prime is 28038029. The next prime is 28038067. The reversal of 28038048 is 84083082.

It is an interprime number because it is at equal distance from previous prime (28038029) and next prime (28038067).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×280380482 = 1572264271300608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5736 + ... + 9432.

It is an arithmetic number, because the mean of its divisors is an integer number (1553160).

Almost surely, 228038048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37275840).

28038048 is an abundant number, since it is smaller than the sum of its proper divisors (46513632).

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

28038048 is a wasteful number, since it uses less digits than its factorization.

28038048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 28038048 is about 5295.0965996854. The cubic root of 28038048 is about 303.7963779546.

The spelling of 28038048 in words is "twenty-eight million, thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3697 3792 7394 7584 11091 14788 22182 29576 44364 59152 88728 118304 177456 292063 354912 584126 876189 1168252 1752378 2336504 3504756 4673008 7009512 9346016 14019024 28038048