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28364730100 = 22527281144203
BaseRepresentation
bin11010011010101010…
…110110111011110100
32201012210020120210021
4122122222312323310
5431042332330400
621010334334524
72022622141060
oct323252667364
981183216707
1028364730100
1111036172603
1255b735a444
1328a0660785
1415311b2aa0
15b102ae71a
hex69aab6ef4

28364730100 has 72 divisors (see below), whose sum is σ = 70595356608. Its totient is φ = 9690374400.

The previous prime is 28364730091. The next prime is 28364730103. The reversal of 28364730100 is 103746382.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28364730103) 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, 124599 + ... + 268801.

It is an arithmetic number, because the mean of its divisors is an integer number (980491064).

Almost surely, 228364730100 is an apocalyptic number.

28364730100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28364730100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35297678304).

28364730100 is an abundant number, since it is smaller than the sum of its proper divisors (42230626508).

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

28364730100 is a wasteful number, since it uses less digits than its factorization.

28364730100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144505 (or 144498 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 28364730100 in words is "twenty-eight billion, three hundred sixty-four million, seven hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 281 350 562 700 1124 1405 1967 2810 3934 5620 7025 7868 9835 14050 19670 28100 39340 49175 98350 144203 196700 288406 576812 721015 1009421 1442030 2018842 2884060 3605075 4037684 5047105 7210150 10094210 14420300 20188420 25235525 40521043 50471050 81042086 100942100 162084172 202605215 283647301 405210430 567294602 810420860 1013026075 1134589204 1418236505 2026052150 2836473010 4052104300 5672946020 7091182525 14182365050 28364730100