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28485408 = 2537192397
BaseRepresentation
bin110110010101…
…0011100100000
31222121012122010
41230222130200
524243013113
62454312520
7464056560
oct154523440
958535563
1028485408
1115096566
129658740
135b94793
143ad6da0
15277a1c3
hex1b2a720

28485408 has 192 divisors, whose sum is σ = 94832640. Its totient is φ = 7299072.

The previous prime is 28485407. The next prime is 28485419. The reversal of 28485408 is 80458482.

It is a super-2 number, since 2×284854082 = 1622836937852928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28485407) 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, 293616 + ... + 293712.

It is an arithmetic number, because the mean of its divisors is an integer number (493920).

Almost surely, 228485408 is an apocalyptic number.

28485408 is a gapful number since it is divisible by the number (28) 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 28485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

28485408 is an abundant number, since it is smaller than the sum of its proper divisors (66347232).

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

28485408 is a wasteful number, since it uses less digits than its factorization.

28485408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 28485408 is about 5337.1722850213. The cubic root of 28485408 is about 305.4035972024.

It can be divided in two parts, 2848 and 5408, that added together give a triangular number (8256 = T128).

The spelling of 28485408 in words is "twenty-eight million, four hundred eighty-five thousand, four hundred eight".