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28396008 = 2338541
BaseRepresentation
bin110110001010…
…0100111101000
31222102200000000
41230110213220
524232133013
62452343000
7463235124
oct154244750
958380000
1028396008
1115035383
129614a60
135b62b94
143ab2584
15275d973
hex1b149e8

28396008 has 72 divisors (see below), whose sum is σ = 80007330. Its totient is φ = 9447840.

The previous prime is 28395989. The next prime is 28396019. The reversal of 28396008 is 80069382.

It can be written as a sum of positive squares in only one way, i.e., 25220484 + 3175524 = 5022^2 + 1782^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52218 + ... + 52758.

Almost surely, 228396008 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 28396008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40003665).

28396008 is an abundant number, since it is smaller than the sum of its proper divisors (51611322).

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

28396008 is an frugal number, since it uses more digits than its factorization.

28396008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28396008 is about 5328.7904819011. The cubic root of 28396008 is about 305.0837645053.

The spelling of 28396008 in words is "twenty-eight million, three hundred ninety-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 541 648 729 972 1082 1458 1623 1944 2164 2187 2916 3246 4328 4374 4869 5832 6492 6561 8748 9738 12984 13122 14607 17496 19476 26244 29214 38952 43821 52488 58428 87642 116856 131463 175284 262926 350568 394389 525852 788778 1051704 1183167 1577556 2366334 3155112 3549501 4732668 7099002 9465336 14198004 28396008