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28377472 = 27475389
BaseRepresentation
bin110110001000…
…0000110000000
31222101201120111
41230100012000
524231034342
62452121104
7463130104
oct154200600
958351514
1028377472
1115022462
129606194
135b57606
143aa9904
152758217
hex1b10180

28377472 has 64 divisors (see below), whose sum is σ = 59486400. Its totient is φ = 13471744.

The previous prime is 28377439. The next prime is 28377473. The reversal of 28377472 is 27477382.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×283774722 = 1610561834221568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28377473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318804 + ... + 318892.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 228377472 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 28377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29743200).

28377472 is an abundant number, since it is smaller than the sum of its proper divisors (31108928).

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

28377472 is an equidigital number, since it uses as much as digits as its factorization.

28377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 131712, while the sum is 40.

The square root of 28377472 is about 5327.0509665292. The cubic root of 28377472 is about 305.0173671021.

The spelling of 28377472 in words is "twenty-eight million, three hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 53 64 89 94 106 128 178 188 212 356 376 424 712 752 848 1424 1504 1696 2491 2848 3008 3392 4183 4717 4982 5696 6016 6784 8366 9434 9964 11392 16732 18868 19928 33464 37736 39856 66928 75472 79712 133856 150944 159424 221699 267712 301888 318848 443398 535424 603776 886796 1773592 3547184 7094368 14188736 28377472