28458000 has 320 divisors, whose sum is σ = 111421440. Its totient is φ = 6912000.

The previous prime is 28457993. The next prime is 28458011. The reversal of 28458000 is 85482.

28458000 = T₅₉ + T₆₀ + ... + T₅₅₄.

28458000 is a `hidden beast` number, since 2 + 84 + 580 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917985 + ... + 918015.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^28458000 is an apocalyptic number.

28458000 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 28458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

28458000 is an abundant number, since it is smaller than the sum of its proper divisors (82963440).

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

28458000 is a wasteful number, since it uses less digits than its factorization.

28458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

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

The square root of 28458000 is about 5334.6040152949. The cubic root of 28458000 is about 305.3056150138.

The spelling of 28458000 in words is "twenty-eight million, four hundred fifty-eight thousand".