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28505376 = 2532293413
BaseRepresentation
bin110110010111…
…1010100100000
31222122020000200
41230233110200
524244133001
62454545200
7464202024
oct154572440
958566020
1028505376
11150aa569
129668200
135ba08b3
143b00384
152781086
hex1b2f520

28505376 has 72 divisors (see below), whose sum is σ = 83881980. Its totient is φ = 9171456.

The previous prime is 28505341. The next prime is 28505381. The reversal of 28505376 is 67350582.

28505376 is a `hidden beast` number, since 285 + 0 + 5 + 376 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 2250000 = 5124^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28505376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6646 + ... + 10058.

Almost surely, 228505376 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 28505376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41940990).

28505376 is an abundant number, since it is smaller than the sum of its proper divisors (55376604).

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

28505376 is a wasteful number, since it uses less digits than its factorization.

28505376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 28505376 is about 5339.0426108058. The cubic root of 28505376 is about 305.4749422063.

The spelling of 28505376 in words is "twenty-eight million, five hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 3413 4176 6826 8352 10239 13652 20478 27304 30717 40956 54608 61434 81912 98977 109216 122868 163824 197954 245736 296931 327648 395908 491472 593862 791816 890793 982944 1187724 1583632 1781586 2375448 3167264 3563172 4750896 7126344 9501792 14252688 28505376