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386028928 = 2717199337
BaseRepresentation
bin10111000000100…
…101010110000000
3222220101022010201
4113000211112000
51242310411203
6102145534544
712365122525
oct2700452600
9886338121
10386028928
111889a327a
12a9344454
1361c8c3ac
14393a914c
1523d53e1d
hex17025580

386028928 has 64 divisors (see below), whose sum is σ = 857228400. Its totient is φ = 172081152.

The previous prime is 386028901. The next prime is 386028949. The reversal of 386028928 is 829820683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36676 + ... + 46012.

Almost surely, 2386028928 is an apocalyptic number.

386028928 is a gapful number since it is divisible by the number (38) 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 386028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428614200).

386028928 is an abundant number, since it is smaller than the sum of its proper divisors (471199472).

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

386028928 is a wasteful number, since it uses less digits than its factorization.

386028928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 386028928 is about 19647.6188888119. The cubic root of 386028928 is about 728.1261303819.

The spelling of 386028928 in words is "three hundred eighty-six million, twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 5168 9337 10336 18674 20672 37348 41344 74696 149392 158729 177403 298784 317458 354806 597568 634916 709612 1195136 1269832 1419224 2539664 2838448 3015851 5079328 5676896 6031702 10158656 11353792 12063404 20317312 22707584 24126808 48253616 96507232 193014464 386028928