62428800 has 192 divisors, whose sum is σ = 235252800. Its totient is φ = 14254080.

The previous prime is 62428799. The next prime is 62428801. The reversal of 62428800 is 882426.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (62428799) and next prime (62428801).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (62428801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66736 + ... + 67664.

It is an arithmetic number, because the mean of its divisors is an integer number (1225275).

Almost surely, 2^62428800 is an apocalyptic number.

62428800 is a gapful number since it is divisible by the number (60) 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 62428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117626400).

62428800 is an abundant number, since it is smaller than the sum of its proper divisors (172824000).

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

62428800 is a wasteful number, since it uses less digits than its factorization.

62428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 62428800 is about 7901.1897838237. The cubic root of 62428800 is about 396.6995084578.

The spelling of 62428800 in words is "sixty-two million, four hundred twenty-eight thousand, eight hundred".