28428400 has 240 divisors, whose sum is σ = 92994048. Its totient is φ = 8064000.

The previous prime is 28428397. The next prime is 28428451. The reversal of 28428400 is 482482.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400365 + ... + 400435.

Almost surely, 2^28428400 is an apocalyptic number.

28428400 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 28428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46497024).

28428400 is an abundant number, since it is smaller than the sum of its proper divisors (64565648).

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

28428400 is a wasteful number, since it uses less digits than its factorization.

28428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 28428400 is about 5331.8289544958. The cubic root of 28428400 is about 305.1997258526.

It can be divided in two parts, 284 and 28400, that multiplied together give a square (8065600 = 2840²).

The spelling of 28428400 in words is "twenty-eight million, four hundred twenty-eight thousand, four hundred".