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28733952 = 293131439
BaseRepresentation
bin110110110011…
…1001000000000
32000001211120110
41231213020000
524323441302
62503511320
7466143312
oct155471000
960054513
1028733952
1115246275
129758540
135c50950
143b5d7b2
1527c8b6c
hex1b67200

28733952 has 80 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 8835072.

The previous prime is 28733951. The next prime is 28733963. The reversal of 28733952 is 25933782.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28733952.

It is not an unprimeable number, because it can be changed into a prime (28733951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19249 + ... + 20687.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 228733952 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 28733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

28733952 is an abundant number, since it is smaller than the sum of its proper divisors (53760768).

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

28733952 is a wasteful number, since it uses less digits than its factorization.

28733952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1457 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 28733952 is about 5360.4059547762. The cubic root of 28733952 is about 306.2892732086.

The spelling of 28733952 in words is "twenty-eight million, seven hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1439 1536 1664 2496 2878 3328 4317 4992 5756 6656 8634 9984 11512 17268 18707 19968 23024 34536 37414 46048 56121 69072 74828 92096 112242 138144 149656 184192 224484 276288 299312 368384 448968 552576 598624 736768 897936 1105152 1197248 1795872 2210304 2394496 3591744 4788992 7183488 9577984 14366976 28733952