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28791792432 = 24321350330577
BaseRepresentation
bin11010110100000111…
…111110001100110000
32202022112211121011200
4122310013332030300
5432431144324212
621120552011200
72036326124544
oct326407761460
982275747150
1028791792432
1111235241887
1256b6390b00
13293ac88b90
141571bbda24
15b37a1b6dc
hex6b41fe330

28791792432 has 120 divisors (see below), whose sum is σ = 86950622304. Its totient is φ = 8841111552.

The previous prime is 28791792409. The next prime is 28791792437. The reversal of 28791792432 is 23429719782.

It is a happy number.

It is a super-2 number, since 2×287917924322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28791792437) 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, 926328 + ... + 956904.

Almost surely, 228791792432 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 28791792432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43475311152).

28791792432 is an abundant number, since it is smaller than the sum of its proper divisors (58158829872).

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

28791792432 is a wasteful number, since it uses less digits than its factorization.

28791792432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31107 (or 31098 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 28791792432 in words is "twenty-eight billion, seven hundred ninety-one million, seven hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 503 624 936 1006 1509 1872 2012 3018 4024 4527 6036 6539 8048 9054 12072 13078 18108 19617 24144 26156 30577 36216 39234 52312 58851 61154 72432 78468 91731 104624 117702 122308 156936 183462 235404 244616 275193 313872 366924 397501 470808 489232 550386 733848 795002 941616 1100772 1192503 1467696 1590004 2201544 2385006 3180008 3577509 4403088 4770012 6360016 7155018 9540024 14310036 15380231 19080048 28620072 30760462 46140693 57240144 61520924 92281386 123041848 138422079 184562772 199943003 246083696 276844158 369125544 399886006 553688316 599829009 738251088 799772012 1107376632 1199658018 1599544024 1799487027 2214753264 2399316036 3199088048 3598974054 4798632072 7197948108 9597264144 14395896216 28791792432