28293413400 has 648 divisors, whose sum is σ = 115687009620. Its totient is φ = 6407735040.

The previous prime is 28293413383. The next prime is 28293413411. The reversal of 28293413400 is 431439282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28293413400 is a `hidden beast` number, since 28 + 293 + 4 + 1 + 340 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 259572546 + ... + 259572654.

Almost surely, 2^28293413400 is an apocalyptic number.

28293413400 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 28293413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57843504810).

28293413400 is an abundant number, since it is smaller than the sum of its proper divisors (87393596220).

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

28293413400 is a wasteful number, since it uses less digits than its factorization.

28293413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 28293413400 in words is "twenty-eight billion, two hundred ninety-three million, four hundred thirteen thousand, four hundred".