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28752906 = 2372137523
BaseRepresentation
bin110110110101…
…1110000001010
32000002210120110
41231223300022
524330043111
62504135150
7466252500
oct155536012
960083513
1028752906
1115259536
1297674b6
135c59470
143b66670
1527ce5a6
hex1b6bc0a

28752906 has 48 divisors (see below), whose sum is σ = 72049824. Its totient is φ = 7582176.

The previous prime is 28752887. The next prime is 28752907. The reversal of 28752906 is 60925782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (28752907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 61 + ... + 7583.

It is an arithmetic number, because the mean of its divisors is an integer number (1501038).

Almost surely, 228752906 is an apocalyptic number.

28752906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28752906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36024912).

28752906 is an abundant number, since it is smaller than the sum of its proper divisors (43296918).

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

28752906 is a wasteful number, since it uses less digits than its factorization.

28752906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 28752906 is about 5362.1736264317. The cubic root of 28752906 is about 306.3566050635.

The spelling of 28752906 in words is "twenty-eight million, seven hundred fifty-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 7523 15046 22569 45138 52661 97799 105322 157983 195598 293397 315966 368627 586794 684593 737254 1105881 1369186 2053779 2211762 4107558 4792151 9584302 14376453 28752906