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28213698240 = 2632573134
BaseRepresentation
bin11010010001101010…
…101101111011000000
32200211021001101000200
4122101222231323000
5430240201320430
620543341245200
72016106323000
oct322152557300
980737041020
1028213698240
1110a68996092
125574863800
132878290000
1415190da000
15b01dc9460
hex691aadec0

28213698240 has 840 divisors, whose sum is σ = 122600618400. Its totient is φ = 5952780288.

The previous prime is 28213698203. The next prime is 28213698277. The reversal of 28213698240 is 4289631282.

28213698240 is a `hidden beast` number, since 28 + 21 + 369 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (28213698203) and next prime (28213698277).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2170284474 + ... + 2170284486.

Almost surely, 228213698240 is an apocalyptic number.

28213698240 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 28213698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61300309200).

28213698240 is an abundant number, since it is smaller than the sum of its proper divisors (94386920160).

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

28213698240 is an frugal number, since it uses more digits than its factorization.

28213698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28213698240 in words is "twenty-eight billion, two hundred thirteen million, six hundred ninety-eight thousand, two hundred forty".