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28563563952 = 2434711226021
BaseRepresentation
bin11010100110100001…
…010110010110110000
32201201122101101120000
4122212201112112300
5431444233021302
621042200150000
72030555200440
oct324641262660
981648341500
1028563563952
1111128429400
125651a68300
1329028ca041
14154d770120
15b2298831c
hex6a68565b0

28563563952 has 300 divisors, whose sum is σ = 103855467408. Its totient is φ = 7418822400.

The previous prime is 28563563933. The next prime is 28563563993. The reversal of 28563563952 is 25936536582.

28563563952 is a `hidden beast` number, since 28 + 5 + 6 + 3 + 563 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1084702 + ... + 1110722.

Almost surely, 228563563952 is an apocalyptic number.

28563563952 is a gapful number since it is divisible by the number (22) 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 28563563952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51927733704).

28563563952 is an abundant number, since it is smaller than the sum of its proper divisors (75291903456).

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

28563563952 is a wasteful number, since it uses less digits than its factorization.

28563563952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26070 (or 26044 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 28563563952 in words is "twenty-eight billion, five hundred sixty-three million, five hundred sixty-three thousand, nine hundred fifty-two".