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28452000 = 253532371
BaseRepresentation
bin110110010001…
…0010010100000
31222112111210210
41230202102200
524240431000
62453454120
7463560303
oct154422240
958474723
1028452000
1115073455
129641340
135b82505
143ac8b3a
152770350
hex1b224a0

28452000 has 96 divisors (see below), whose sum is σ = 93248064. Its totient is φ = 7584000.

The previous prime is 28451993. The next prime is 28452007. The reversal of 28452000 is 25482.

It is an interprime number because it is at equal distance from previous prime (28451993) and next prime (28452007).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28452007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10815 + ... + 13185.

It is an arithmetic number, because the mean of its divisors is an integer number (971334).

Almost surely, 228452000 is an apocalyptic number.

28452000 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 28452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46624032).

28452000 is an abundant number, since it is smaller than the sum of its proper divisors (64796064).

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

28452000 is a wasteful number, since it uses less digits than its factorization.

28452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 28452000 is about 5334.0416196352. The cubic root of 28452000 is about 305.2841569300.

Adding to 28452000 its reverse (25482), we get a palindrome (28477482).

The spelling of 28452000 in words is "twenty-eight million, four hundred fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2371 2400 3000 4000 4742 6000 7113 9484 11855 12000 14226 18968 23710 28452 35565 37936 47420 56904 59275 71130 75872 94840 113808 118550 142260 177825 189680 227616 237100 284520 296375 355650 379360 474200 569040 592750 711300 889125 948400 1138080 1185500 1422600 1778250 1896800 2371000 2845200 3556500 4742000 5690400 7113000 9484000 14226000 28452000