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28738952 = 231132699
BaseRepresentation
bin110110110100…
…0010110001000
32000002002102122
41231220112020
524324121302
62503550412
7466164014
oct155502610
960062378
1028738952
111524a000
12975b408
135c52cc8
143b61544
1527ca3a2
hex1b68588

28738952 has 32 divisors (see below), whose sum is σ = 59292000. Its totient is φ = 13058320.

The previous prime is 28738939. The next prime is 28738961. The reversal of 28738952 is 25983782.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9299 + ... + 11997.

It is an arithmetic number, because the mean of its divisors is an integer number (1852875).

Almost surely, 228738952 is an apocalyptic number.

28738952 is a gapful number since it is divisible by the number (22) 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 28738952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29646000).

28738952 is an abundant number, since it is smaller than the sum of its proper divisors (30553048).

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

28738952 is a wasteful number, since it uses less digits than its factorization.

28738952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2712 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 28738952 is about 5360.8723170768. The cubic root of 28738952 is about 306.3070379948.

The spelling of 28738952 in words is "twenty-eight million, seven hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 2699 5324 5398 10648 10796 21592 29689 59378 118756 237512 326579 653158 1306316 2612632 3592369 7184738 14369476 28738952