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28601952 = 2532511187
BaseRepresentation
bin110110100011…
…0111001100000
31222211010111120
41231012321200
524310230302
62501012240
7465053421
oct155067140
958733446
1028601952
1115166085
1296b4080
135c05842
143b27648
15279e9bc
hex1b46e60

28601952 has 48 divisors (see below), whose sum is σ = 75442752. Its totient is φ = 9488000.

The previous prime is 28601921. The next prime is 28601953. The reversal of 28601952 is 25910682.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28601953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23503 + ... + 24689.

It is an arithmetic number, because the mean of its divisors is an integer number (1571724).

Almost surely, 228601952 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 28601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37721376).

28601952 is an abundant number, since it is smaller than the sum of its proper divisors (46840800).

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

28601952 is a wasteful number, since it uses less digits than its factorization.

28601952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 28601952 is about 5348.0792813869. The cubic root of 28601952 is about 305.8195356096.

The spelling of 28601952 in words is "twenty-eight million, six hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 753 1004 1187 1506 2008 2374 3012 3561 4016 4748 6024 7122 8032 9496 12048 14244 18992 24096 28488 37984 56976 113952 297937 595874 893811 1191748 1787622 2383496 3575244 4766992 7150488 9533984 14300976 28601952