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28362480 = 2435592003
BaseRepresentation
bin110110000110…
…0011011110000
31222100222000020
41230030123300
524230044410
62451523440
7463035306
oct154143360
958328006
1028362480
1115012173
1295b9580
135b50843
143aa4276
152753a70
hex1b0c6f0

28362480 has 80 divisors (see below), whose sum is σ = 89458560. Its totient is φ = 7431424.

The previous prime is 28362469. The next prime is 28362527. The reversal of 28362480 is 8426382.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13159 + ... + 15161.

It is an arithmetic number, because the mean of its divisors is an integer number (1118232).

Almost surely, 228362480 is an apocalyptic number.

28362480 is a gapful number since it is divisible by the number (20) 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 28362480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44729280).

28362480 is an abundant number, since it is smaller than the sum of its proper divisors (61096080).

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

28362480 is a wasteful number, since it uses less digits than its factorization.

28362480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 28362480 is about 5325.6436230751. The cubic root of 28362480 is about 304.9636434313.

The spelling of 28362480 in words is "twenty-eight million, three hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2003 2360 2832 3540 4006 4720 6009 7080 8012 10015 12018 14160 16024 20030 24036 30045 32048 40060 48072 60090 80120 96144 118177 120180 160240 236354 240360 354531 472708 480720 590885 709062 945416 1181770 1418124 1772655 1890832 2363540 2836248 3545310 4727080 5672496 7090620 9454160 14181240 28362480