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28952000 = 265371147
BaseRepresentation
bin110111001110…
…0010111000000
32000110220200022
41232130113000
524402431000
62512313012
7501042110
oct156342700
960426608
1028952000
1115385080
129842768
135cc8c7c
143bb9040
15281d585
hex1b9c5c0

28952000 has 224 divisors, whose sum is σ = 91293696. Its totient is φ = 8832000.

The previous prime is 28951981. The next prime is 28952017. The reversal of 28952000 is 25982.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615977 + ... + 616023.

Almost surely, 228952000 is an apocalyptic number.

28952000 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 28952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45646848).

28952000 is an abundant number, since it is smaller than the sum of its proper divisors (62341696).

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

28952000 is a wasteful number, since it uses less digits than its factorization.

28952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 28952000 is about 5380.7062733437. The cubic root of 28952000 is about 307.0620818261.

Adding to 28952000 its reverse (25982), we get a palindrome (28977982).

The spelling of 28952000 in words is "twenty-eight million, nine hundred fifty-two thousand".