28839554150400 has 3744 divisors, whose sum is σ = 130137559552000. Its totient is φ = 6320730931200.

The previous prime is 28839554150383. The next prime is 28839554150411. The reversal of 28839554150400 is 405145593882.

28839554150400 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 9 + 5 + 541 + 50 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 264583065546 + ... + 264583065654.

Almost surely, 2^{28839554150400} is an apocalyptic number.

28839554150400 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 28839554150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65068779776000).

28839554150400 is an abundant number, since it is smaller than the sum of its proper divisors (101298005401600).

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

28839554150400 is an equidigital number, since it uses as much as digits as its factorization.

28839554150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 28839554150400 in words is "twenty-eight trillion, eight hundred thirty-nine billion, five hundred fifty-four million, one hundred fifty thousand, four hundred".