92728800 has 288 divisors, whose sum is σ = 345915360. Its totient is φ = 24261120.

The previous prime is 92728739. The next prime is 92728813. The reversal of 92728800 is 882729.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749574 + ... + 1749626.

It is an arithmetic number, because the mean of its divisors is an integer number (1201095).

Almost surely, 2^92728800 is an apocalyptic number.

92728800 is a gapful number since it is divisible by the number (90) 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 92728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172957680).

92728800 is an abundant number, since it is smaller than the sum of its proper divisors (253186560).

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

92728800 is an equidigital number, since it uses as much as digits as its factorization.

92728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 92728800 is about 9629.5794300686. The cubic root of 92728800 is about 452.6246616840.

It can be divided in two parts, 92728 and 800, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 92728800 in words is "ninety-two million, seven hundred twenty-eight thousand, eight hundred".