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28500432 = 2431753659
BaseRepresentation
bin110110010111…
…0000111010000
31222121222020120
41230232013100
524244003212
62454510240
7464151432
oct154560720
958558216
1028500432
11150a6884
129665380
135b9b57c
143adc652
15277e88c
hex1b2e1d0

28500432 has 80 divisors (see below), whose sum is σ = 79548480. Its totient is φ = 8759296.

The previous prime is 28500401. The next prime is 28500463. The reversal of 28500432 is 23400582.

It is an interprime number because it is at equal distance from previous prime (28500401) and next prime (28500463).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 42919 + ... + 43577.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 228500432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28500432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39774240).

28500432 is an abundant number, since it is smaller than the sum of its proper divisors (51048048).

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

28500432 is a wasteful number, since it uses less digits than its factorization.

28500432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 28500432 is about 5338.5795863694. The cubic root of 28500432 is about 305.4572805620.

The spelling of 28500432 in words is "twenty-eight million, five hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 659 816 848 901 1272 1318 1802 1977 2544 2636 2703 3604 3954 5272 5406 7208 7908 10544 10812 11203 14416 15816 21624 22406 31632 33609 34927 43248 44812 67218 69854 89624 104781 134436 139708 179248 209562 268872 279416 419124 537744 558832 593759 838248 1187518 1676496 1781277 2375036 3562554 4750072 7125108 9500144 14250216 28500432