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28374492832 = 25710710910861
BaseRepresentation
bin11010011011010000…
…000110011010100000
32201020110121120201221
4122123100012122200
5431102332232312
621011323504424
72023101131620
oct323320063240
981213546657
1028374492832
1111040730484
1255ba688114
1328a269b33a
1415325d4880
15b1108c207
hex69b4066a0

28374492832 has 96 divisors (see below), whose sum is σ = 65036442240. Its totient is φ = 11935226880.

The previous prime is 28374492793. The next prime is 28374492857. The reversal of 28374492832 is 23829447382.

It is a happy number.

It is a super-2 number, since 2×283744928322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28374492832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2607082 + ... + 2617942.

It is an arithmetic number, because the mean of its divisors is an integer number (677462940).

Almost surely, 228374492832 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 28374492832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32518221120).

28374492832 is an abundant number, since it is smaller than the sum of its proper divisors (36661949408).

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

28374492832 is a wasteful number, since it uses less digits than its factorization.

28374492832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11094 (or 11086 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The spelling of 28374492832 in words is "twenty-eight billion, three hundred seventy-four million, four hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 109 112 214 218 224 428 436 749 763 856 872 1498 1526 1712 1744 2996 3052 3424 3488 5992 6104 10861 11663 11984 12208 21722 23326 23968 24416 43444 46652 76027 81641 86888 93304 152054 163282 173776 186608 304108 326564 347552 373216 608216 653128 1162127 1183849 1216432 1306256 2324254 2367698 2432864 2612512 4648508 4735396 8134889 8286943 9297016 9470792 16269778 16573886 18594032 18941584 32539556 33147772 37188064 37883168 65079112 66295544 126671843 130158224 132591088 253343686 260316448 265182176 506687372 886702901 1013374744 1773405802 2026749488 3546811604 4053498976 7093623208 14187246416 28374492832