1978272192 has 224 divisors, whose sum is σ = 5984548864. Its totient is φ = 572313600.

The previous prime is 1978272173. The next prime is 1978272199. The reversal of 1978272192 is 2912728791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978272199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2862567 + ... + 2863257.

It is an arithmetic number, because the mean of its divisors is an integer number (26716736).

Almost surely, 2^1978272192 is an apocalyptic number.

1978272192 is a gapful number since it is divisible by the number (12) 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 1978272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992274432).

1978272192 is an abundant number, since it is smaller than the sum of its proper divisors (4006276672).

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

1978272192 is a wasteful number, since it uses less digits than its factorization.

1978272192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its digits is 254016, while the sum is 48.

The square root of 1978272192 is about 44477.7718866402. The cubic root of 1978272192 is about 1255.3418732860.

It can be divided in two parts, 1978 and 272192, that added together give a triangular number (274170 = T₇₄₀).

The spelling of 1978272192 in words is "one billion, nine hundred seventy-eight million, two hundred seventy-two thousand, one hundred ninety-two".