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28674680896 = 266123472
BaseRepresentation
bin11010101101001001…
…001110100001000000
32202000101110201100101
4122231021032201000
5432211204242041
621101205532144
72033404523521
oct325511164100
982011421311
1028674680896
1111185123194
125683114054
13291c933904
141560416848
15b2c5d6b31
hex6ad24e840

28674680896 has 63 divisors (see below), whose sum is σ = 58016613837. Its totient is φ = 14061661440.

The previous prime is 28674680843. The next prime is 28674680897. The reversal of 28674680896 is 69808647682.

The square root of 28674680896 is 169336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 932447296 + 27742233600 = 30536^2 + 166560^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28674680897) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82635795 + ... + 82636141.

Almost surely, 228674680896 is an apocalyptic number.

28674680896 is the 169336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28674680896

28674680896 is an abundant number, since it is smaller than the sum of its proper divisors (29341932941).

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

28674680896 is an frugal number, since it uses more digits than its factorization.

28674680896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

Multiplying 28674680896 by its sum of digits (64), we get a square (1835179577344 = 13546882).

28674680896 divided by its sum of digits (64) gives a square (448041889 = 211672).

The spelling of 28674680896 in words is "twenty-eight billion, six hundred seventy-four million, six hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 347 488 694 976 1388 1952 2776 3721 3904 5552 7442 11104 14884 21167 22208 29768 42334 59536 84668 119072 120409 169336 238144 240818 338672 481636 677344 963272 1291187 1354688 1926544 2582374 3853088 5164748 7344949 7706176 10329496 14689898 20658992 29379796 41317984 58759592 82635968 117519184 235038368 448041889 470076736 896083778 1792167556 3584335112 7168670224 14337340448 28674680896