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28619240 = 23513471171
BaseRepresentation
bin110110100101…
…1000111101000
31222212000012212
41231023013220
524311303430
62501224252
7465155006
oct155130750
958760185
1028619240
1115178071
129702088
135c10680
143b2da76
1527a4b95
hex1b4b1e8

28619240 has 64 divisors (see below), whose sum is σ = 70882560. Its totient is φ = 10333440.

The previous prime is 28619221. The next prime is 28619257. The reversal of 28619240 is 4291682.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28619197 and 28619206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23855 + ... + 25025.

It is an arithmetic number, because the mean of its divisors is an integer number (1107540).

Almost surely, 228619240 is an apocalyptic number.

28619240 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 28619240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35441280).

28619240 is an abundant number, since it is smaller than the sum of its proper divisors (42263320).

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

28619240 is a wasteful number, since it uses less digits than its factorization.

28619240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 28619240 is about 5349.6953184270. The cubic root of 28619240 is about 305.8811391355.

The spelling of 28619240 in words is "twenty-eight million, six hundred nineteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 940 1171 1222 1880 2342 2444 3055 4684 4888 5855 6110 9368 11710 12220 15223 23420 24440 30446 46840 55037 60892 76115 110074 121784 152230 220148 275185 304460 440296 550370 608920 715481 1100740 1430962 2201480 2861924 3577405 5723848 7154810 14309620 28619240