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28493040 = 2435227523
BaseRepresentation
bin110110010110…
…0010011110000
31222121121002210
41230230103300
524243234130
62454412120
7464121042
oct154542360
958547083
1028493040
11150a1274
129661040
135b980b4
143ad9a92
15277c5b0
hex1b2c4f0

28493040 has 80 divisors (see below), whose sum is σ = 88887168. Its totient is φ = 7550208.

The previous prime is 28493033. The next prime is 28493053. The reversal of 28493040 is 4039482.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28492989 and 28493007.

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, 54219 + ... + 54741.

Almost surely, 228493040 is an apocalyptic number.

28493040 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 28493040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44443584).

28493040 is an abundant number, since it is smaller than the sum of its proper divisors (60394128).

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

28493040 is a wasteful number, since it uses less digits than its factorization.

28493040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 28493040 is about 5337.8872224879. The cubic root of 28493040 is about 305.4308700213.

The spelling of 28493040 in words is "twenty-eight million, four hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 523 681 908 1046 1135 1362 1569 1816 2092 2270 2615 2724 3138 3405 3632 4184 4540 5230 5448 6276 6810 7845 8368 9080 10460 10896 12552 13620 15690 18160 20920 25104 27240 31380 41840 54480 62760 118721 125520 237442 356163 474884 593605 712326 949768 1187210 1424652 1780815 1899536 2374420 2849304 3561630 4748840 5698608 7123260 9497680 14246520 28493040