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28390752 = 2532137583
BaseRepresentation
bin110110001001…
…1010101100000
31222102101210100
41230103111200
524232001002
62452302400
7463213605
oct154232540
958371710
1028390752
1115031435
129611a00
135b60680
143ab06ac
15275c11c
hex1b13560

28390752 has 72 divisors (see below), whose sum is σ = 86958144. Its totient is φ = 8734464.

The previous prime is 28390727. The next prime is 28390759. The reversal of 28390752 is 25709382.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28390759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 7535.

It is an arithmetic number, because the mean of its divisors is an integer number (1207752).

Almost surely, 228390752 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 28390752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43479072).

28390752 is an abundant number, since it is smaller than the sum of its proper divisors (58567392).

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

28390752 is a wasteful number, since it uses less digits than its factorization.

28390752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 28390752 is about 5328.2972890033. The cubic root of 28390752 is about 305.0649400376.

The spelling of 28390752 in words is "twenty-eight million, three hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 7583 15166 22749 30332 45498 60664 68247 90996 98579 121328 136494 181992 197158 242656 272988 295737 363984 394316 545976 591474 727968 788632 887211 1091952 1182948 1577264 1774422 2183904 2365896 3154528 3548844 4731792 7097688 9463584 14195376 28390752