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4058828028 = 22355777237
BaseRepresentation
bin1111000111101100…
…1100110011111100
3101110212101211100000
43301323030303330
531303024444103
61510430434300
7202403316603
oct36173146374
911425354300
104058828028
1117a3114632
12953362990
134c8b7b0b8
142a70a8a3a
1518b4e5aa3
hexf1ecccfc

4058828028 has 72 divisors (see below), whose sum is σ = 10659721072. Its totient is φ = 1350411264.

The previous prime is 4058828027. The next prime is 4058828029. The reversal of 4058828028 is 8208288504.

4058828028 is a `hidden beast` number, since 40 + 588 + 2 + 8 + 0 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (4058828027) and next prime (4058828029).

It is a super-3 number, since 3×40588280283 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4058828027) 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, 557226 + ... + 564462.

Almost surely, 24058828028 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 4058828028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329860536).

4058828028 is an abundant number, since it is smaller than the sum of its proper divisors (6600893044).

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

4058828028 is a wasteful number, since it uses less digits than its factorization.

4058828028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 4058828028 is about 63708.9320896215. The cubic root of 4058828028 is about 1595.1451836018.

The spelling of 4058828028 in words is "four billion, fifty-eight million, eight hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 577 972 1154 1731 2308 3462 5193 6924 7237 10386 14474 15579 20772 21711 28948 31158 43422 46737 62316 65133 86844 93474 130266 140211 186948 195399 260532 280422 390798 560844 586197 781596 1172394 1758591 2344788 3517182 4175749 7034364 8351498 12527247 16702996 25054494 37581741 50108988 75163482 112745223 150326964 225490446 338235669 450980892 676471338 1014707007 1352942676 2029414014 4058828028