Search a number
-
+
28392480 = 2532519717
BaseRepresentation
bin110110001001…
…1110000100000
31222102111011100
41230103300200
524232024410
62452314400
7463221624
oct154236040
958374140
1028392480
1115032766
129612a00
135b613ac
143ab1184
15275c8c0
hex1b13c20

28392480 has 72 divisors (see below), whose sum is σ = 96894252. Its totient is φ = 7570944.

The previous prime is 28392467. The next prime is 28392487. The reversal of 28392480 is 8429382.

It can be written as a sum of positive squares in 2 ways, for example, as 25280784 + 3111696 = 5028^2 + 1764^2 .

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

It is a super-2 number, since 2×283924802 = 1612265841100800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28392487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8419 + ... + 11298.

Almost surely, 228392480 is an apocalyptic number.

28392480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28392480 is an abundant number, since it is smaller than the sum of its proper divisors (68501772).

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

28392480 is a wasteful number, since it uses less digits than its factorization.

28392480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19738 (or 19727 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28392480 is about 5328.4594396505. The cubic root of 28392480 is about 305.0711291600.

The spelling of 28392480 in words is "twenty-eight million, three hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 19717 39434 59151 78868 98585 118302 157736 177453 197170 236604 295755 315472 354906 394340 473208 591510 630944 709812 788680 887265 946416 1183020 1419624 1577360 1774530 1892832 2366040 2839248 3154720 3549060 4732080 5678496 7098120 9464160 14196240 28392480