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28450800 = 24325271129
BaseRepresentation
bin110110010000…
…1111111110000
31222112110011100
41230201333300
524240411200
62453444400
7463553640
oct154417760
958473140
1028450800
1115072564
129640700
135b81ac1
143ac8520
15276ed00
hex1b21ff0

28450800 has 180 divisors, whose sum is σ = 112936720. Its totient is φ = 6497280.

The previous prime is 28450783. The next prime is 28450811. The reversal of 28450800 is 805482.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24636 + ... + 25764.

Almost surely, 228450800 is an apocalyptic number.

28450800 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 28450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56468360).

28450800 is an abundant number, since it is smaller than the sum of its proper divisors (84485920).

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

28450800 is a wasteful number, since it uses less digits than its factorization.

28450800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28450800 is about 5333.9291333875. The cubic root of 28450800 is about 305.2798649512.

The spelling of 28450800 in words is "twenty-eight million, four hundred fifty thousand, eight hundred".