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28604726532 = 22385771889
BaseRepresentation
bin11010101000111110…
…010111110100000100
32201211111211200000000
4122220332113310010
5432040302222112
621050230321300
72031565110114
oct325076276404
981744750000
1028604726532
1111149693468
1256637b9230
13290b2acab5
141555007044
15b263b97dc
hex6a8f97d04

28604726532 has 108 divisors (see below), whose sum is σ = 75253536540. Its totient is φ = 9513345024.

The previous prime is 28604726467. The next prime is 28604726543. The reversal of 28604726532 is 23562740682.

28604726532 is a `hidden beast` number, since 2 + 8 + 604 + 7 + 2 + 6 + 5 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23337450756 + 5267275776 = 152766^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15141844 + ... + 15143732.

It is an arithmetic number, because the mean of its divisors is an integer number (696792005).

Almost surely, 228604726532 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 28604726532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37626768270).

28604726532 is an abundant number, since it is smaller than the sum of its proper divisors (46648810008).

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

28604726532 is an equidigital number, since it uses as much as digits as its factorization.

28604726532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 28604726532 in words is "twenty-eight billion, six hundred four million, seven hundred twenty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 577 729 972 1154 1458 1731 1889 2187 2308 2916 3462 3778 4374 5193 5667 6561 6924 7556 8748 10386 11334 13122 15579 17001 20772 22668 26244 31158 34002 46737 51003 62316 68004 93474 102006 140211 153009 186948 204012 280422 306018 420633 459027 560844 612036 841266 918054 1089953 1261899 1377081 1682532 1836108 2179906 2523798 2754162 3269859 3785697 4131243 4359812 5047596 5508324 6539718 7571394 8262486 9809577 12393729 13079436 15142788 16524972 19619154 24787458 29428731 39238308 49574916 58857462 88286193 117714924 176572386 264858579 353144772 529717158 794575737 1059434316 1589151474 2383727211 3178302948 4767454422 7151181633 9534908844 14302363266 28604726532