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16328628 = 2235107157
BaseRepresentation
bin111110010010…
…011110110100
31010201120200000
4332102132310
513140004003
61341551300
7255535221
oct76223664
933646600
1016328628
119242a38
125575530
1334c9314
142250948
1516781a3
hexf927b4

16328628 has 72 divisors (see below), whose sum is σ = 43479072. Its totient is φ = 5357664.

The previous prime is 16328617. The next prime is 16328633. The reversal of 16328628 is 82682361.

16328628 is a `hidden beast` number, since 1 + 6 + 3 + 28 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16328592 and 16328601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103926 + ... + 104082.

It is an arithmetic number, because the mean of its divisors is an integer number (603876).

Almost surely, 216328628 is an apocalyptic number.

16328628 is a gapful number since it is divisible by the number (18) 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 16328628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739536).

16328628 is an abundant number, since it is smaller than the sum of its proper divisors (27150444).

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

16328628 is a wasteful number, since it uses less digits than its factorization.

16328628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 16328628 is about 4040.8697083672. The cubic root of 16328628 is about 253.6977204696.

The spelling of 16328628 in words is "sixteen million, three hundred twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 157 162 214 243 314 321 324 428 471 486 628 642 942 963 972 1284 1413 1884 1926 2826 2889 3852 4239 5652 5778 8478 8667 11556 12717 16799 16956 17334 25434 26001 33598 34668 38151 50397 50868 52002 67196 76302 100794 104004 151191 152604 201588 302382 453573 604764 907146 1360719 1814292 2721438 4082157 5442876 8164314 16328628