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5628341004 = 223111310930091
BaseRepresentation
bin1010011110111100…
…11010101100001100
3112112020201100101020
411033132122230030
543011323403004
62330254514140
7256322052306
oct51736325414
915466640336
105628341004
1124290629a0
121110b05950
136b909b2c0
143b5704976
1522e1c18d9
hex14f79ab0c

5628341004 has 96 divisors (see below), whose sum is σ = 15570804480. Its totient is φ = 1559865600.

The previous prime is 5628341003. The next prime is 5628341071. The reversal of 5628341004 is 4001438265.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5628341003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171999 + ... + 202089.

It is an arithmetic number, because the mean of its divisors is an integer number (162195880).

Almost surely, 25628341004 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 5628341004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785402240).

5628341004 is an abundant number, since it is smaller than the sum of its proper divisors (9942463476).

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

5628341004 is a wasteful number, since it uses less digits than its factorization.

5628341004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30231 (or 30229 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5628341004 is about 75022.2700536314. The cubic root of 5628341004 is about 1778.7986890674.

Adding to 5628341004 its reverse (4001438265), we get a palindrome (9629779269).

The spelling of 5628341004 in words is "five billion, six hundred twenty-eight million, three hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 109 132 143 156 218 286 327 429 436 572 654 858 1199 1308 1417 1716 2398 2834 3597 4251 4796 5668 7194 8502 14388 15587 17004 30091 31174 46761 60182 62348 90273 93522 120364 180546 187044 331001 361092 391183 662002 782366 993003 1173549 1324004 1564732 1986006 2347098 3279919 3972012 4303013 4694196 6559838 8606026 9839757 12909039 13119676 17212052 19679514 25818078 36079109 39359028 42638947 51636156 72158218 85277894 108237327 127916841 144316436 170555788 216474654 255833682 432949308 469028417 511667364 938056834 1407085251 1876113668 2814170502 5628341004