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28201132544 = 291316572557
BaseRepresentation
bin11010010000111010…
…110010001000000000
32200210101101222010112
4122100322302020000
5430223442220134
620542212050452
72015564446214
oct322072621000
980711358115
1028201132544
1110a61893312
125570603a28
1328757b06a0
141517588944
15b00c461ce
hex690eb2200

28201132544 has 80 divisors (see below), whose sum is σ = 60741950808. Its totient is φ = 13002964992.

The previous prime is 28201132457. The next prime is 28201132607. The reversal of 28201132544 is 44523110282.

It can be written as a sum of positive squares in 4 ways, for example, as 16037689600 + 12163442944 = 126640^2 + 110288^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 28201132544.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11027714 + ... + 11030270.

Almost surely, 228201132544 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 28201132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30370975404).

28201132544 is an abundant number, since it is smaller than the sum of its proper divisors (32540818264).

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

28201132544 is a wasteful number, since it uses less digits than its factorization.

28201132544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 28201132544 in words is "twenty-eight billion, two hundred one million, one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1657 1664 2557 3314 3328 5114 6628 6656 10228 13256 20456 21541 26512 33241 40912 43082 53024 66482 81824 86164 106048 132964 163648 172328 212096 265928 327296 344656 424192 531856 654592 689312 848384 1063712 1309184 1378624 2127424 2757248 4236949 4254848 5514496 8473898 8509696 11028992 16947796 17019392 33895592 55080337 67791184 110160674 135582368 220321348 271164736 440642696 542329472 881285392 1084658944 1762570784 2169317888 3525141568 7050283136 14100566272 28201132544