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332000028 = 2232791071091
BaseRepresentation
bin10011110010011…
…110101100011100
3212010201100102100
4103302132230130
51134443000103
652535525100
711140645053
oct2362365434
9763640370
10332000028
11160450598
1293229790
1353a23229
143214339a
151e2305a3
hex13c9eb1c

332000028 has 72 divisors (see below), whose sum is σ = 858574080. Its totient is φ = 108145440.

The previous prime is 332000027. The next prime is 332000051. The reversal of 332000028 is 820000233.

It is a super-2 number, since 2×3320000282 = 220448037184001568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332000027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303763 + ... + 304853.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2332000028 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 332000028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

332000028 is an abundant number, since it is smaller than the sum of its proper divisors (526574052).

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

332000028 is a wasteful number, since it uses less digits than its factorization.

332000028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 332000028 is about 18220.8679266384. The cubic root of 332000028 is about 692.4355767288.

The spelling of 332000028 in words is "three hundred thirty-two million, twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 79 107 158 214 237 316 321 428 474 642 711 948 963 1091 1284 1422 1926 2182 2844 3273 3852 4364 6546 8453 9819 13092 16906 19638 25359 33812 39276 50718 76077 86189 101436 116737 152154 172378 233474 258567 304308 344756 350211 466948 517134 700422 775701 1034268 1050633 1400844 1551402 2101266 3102804 4202532 9222223 18444446 27666669 36888892 55333338 83000007 110666676 166000014 332000028